pith. sign in
Pith Number

pith:2H5WBO2Y

pith:2011:2H5WBO2YX3IWGCERJAOKD4PQ65
not attested not anchored not stored refs pending

Ant foraging and minimal paths in simple graphs

J. J. L. Vel\'azquez, M. A. Fontelos, M. Vela-P\'erez

arxiv:1103.1612 v1 · 2011-03-08 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2H5WBO2YX3IWGCERJAOKD4PQ65}

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 2026-05-18T04:27:15.513660Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d1fb60bb58bed1630891481ca1f1f0f76121a2217e572c064f578a970b71fedc

Aliases

arxiv: 1103.1612 · arxiv_version: 1103.1612v1 · doi: 10.48550/arxiv.1103.1612 · pith_short_12: 2H5WBO2YX3IW · pith_short_16: 2H5WBO2YX3IWGCER · pith_short_8: 2H5WBO2Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2H5WBO2YX3IWGCERJAOKD4PQ65 \
  | 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: d1fb60bb58bed1630891481ca1f1f0f76121a2217e572c064f578a970b71fedc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a94a27e1da7be1d963e09d66f21b287bb365d9e6d486a1c757ccbc0fbc1295eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-03-08T19:46:05Z",
    "title_canon_sha256": "c998ab8b0db9c778126da1e50b63cdf81c75373d2082718da80d5f2385bf355a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1612",
    "kind": "arxiv",
    "version": 1
  }
}