Pith Number

pith:DFPZVMIB

pith:2012:DFPZVMIBHDIO47RXFNBDZWAAHE

not attested not anchored not stored refs pending

Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration

Benoit Perthame (INRIA Rocquencourt, Emeric Bouin (UMPA-ENSL), Gael Raoul (CEFE), LJLL), Nicolas Meunier (MAP5), Raphael Voituriez (LPTMC), Sepideh Mirrahimi (CMAP), Vincent Calvez (UMPA-ENSL)

arxiv:1207.2355 v1 · 2012-07-10 · math.AP · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFPZVMIBHDIO47RXFNBDZWAAHE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:51:24.304980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195f9ab10138d0ee7e372b423cd80039322698d66c519d52eb88d3e9aa53f44b

Aliases

arxiv: 1207.2355 · arxiv_version: 1207.2355v1 · doi: 10.48550/arxiv.1207.2355 · pith_short_12: DFPZVMIBHDIO · pith_short_16: DFPZVMIBHDIO47RX · pith_short_8: DFPZVMIB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DFPZVMIBHDIO47RXFNBDZWAAHE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 195f9ab10138d0ee7e372b423cd80039322698d66c519d52eb88d3e9aa53f44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724884bc66bdfb31ce29e31608e3bf0c7687c7e33b3c1a776e027bdf7c9ae9a4",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-10T13:59:30Z",
    "title_canon_sha256": "da65d7d472e71e8f04a45c25ca0ca409f15113f8ac77eab085aa74e5ca70c726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2355",
    "kind": "arxiv",
    "version": 1
  }
}