Pith Number

pith:ALKZH3JA

pith:2014:ALKZH3JADH4ZT26Y6UQOMDQCEM

not attested not anchored not stored refs pending

Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

Benoit Perthame (LJLL, CIRB), Cristobal Qui\~ninao (LJLL, Inria Paris-Rocquencourt), INRIA-Paris-Rocquencourt), Jonathan Touboul (CIRB

arxiv:1408.2091 v2 · 2014-08-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALKZH3JADH4ZT26Y6UQOMDQCEM}

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	2026-05-18T02:44:08.043678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d593ed2019f999ebd8f520e60e02233ff4ee938453a6ed70acae8f6a229161

Aliases

arxiv: 1408.2091 · arxiv_version: 1408.2091v2 · doi: 10.48550/arxiv.1408.2091 · pith_short_12: ALKZH3JADH4Z · pith_short_16: ALKZH3JADH4ZT26Y · pith_short_8: ALKZH3JA

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/ALKZH3JADH4ZT26Y6UQOMDQCEM \
  | 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: 02d593ed2019f999ebd8f520e60e02233ff4ee938453a6ed70acae8f6a229161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171d9bf06489784fe42acf1661a871a808751bd54ac4325cd48d69ebc2a687ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-09T13:17:44Z",
    "title_canon_sha256": "638aa6da2c2c3807d0077635d6111b9e2ad56507b9a45d867541cbaca38aaeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2091",
    "kind": "arxiv",
    "version": 2
  }
}