Pith Number

pith:VVNVSP6A

pith:2010:VVNVSP6AR5JQGPVAZUIPPF4HSG

not attested not anchored not stored refs pending

Traveling wave dispersal in partially sedentary age-structured biological populations

Frithjof Lutscher, Nguyen Van Minh, Thuc Manh Le

arxiv:1011.2747 v1 · 2010-11-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVNVSP6AR5JQGPVAZUIPPF4HSG}

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	2026-05-18T04:36:09.620455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5b593fc08f53033ea0cd10f7978791ba8adef20f7ecbb021f6c7a188ec159e

Aliases

arxiv: 1011.2747 · arxiv_version: 1011.2747v1 · doi: 10.48550/arxiv.1011.2747 · pith_short_12: VVNVSP6AR5JQ · pith_short_16: VVNVSP6AR5JQGPVA · pith_short_8: VVNVSP6A

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/VVNVSP6AR5JQGPVAZUIPPF4HSG \
  | 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: ad5b593fc08f53033ea0cd10f7978791ba8adef20f7ecbb021f6c7a188ec159e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e72f8a7fd546b6bdd75d5ef7703ec9b6a92ca71934b0d4343953080eb82a85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-11T19:58:38Z",
    "title_canon_sha256": "ad3315a968df572fc4c8dbb086cdb3c7873b411461f2660f915cbef65812c64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2747",
    "kind": "arxiv",
    "version": 1
  }
}