Pith Number

pith:UK6PY5I6

pith:2010:UK6PY5I6G5HU7N4ZMC7BZG46C5

not attested not anchored not stored refs pending

Modeling symbiosis by interactions through species carrying capacities

D. Sornette, E. P. Yukalova, V. I. Yukalov

arxiv:1003.2092 v2 · 2010-03-10 · physics.bio-ph · nlin.AO · physics.soc-ph · 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{UK6PY5I6G5HU7N4ZMC7BZG46C5}

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	2026-05-18T03:54:16.814911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bcfc751e374f4fb79960be1c9b9e17573c67896e08acf942b52ad99be9b2dd

Aliases

arxiv: 1003.2092 · arxiv_version: 1003.2092v2 · doi: 10.48550/arxiv.1003.2092 · pith_short_12: UK6PY5I6G5HU · pith_short_16: UK6PY5I6G5HU7N4Z · pith_short_8: UK6PY5I6

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/UK6PY5I6G5HU7N4ZMC7BZG46C5 \
  | 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: a2bcfc751e374f4fb79960be1c9b9e17573c67896e08acf942b52ad99be9b2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12578046f550590b5fc9d2fc343802fa3bfd6fc44c2aa43d093c55db3da05845",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.soc-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2010-03-10T12:14:04Z",
    "title_canon_sha256": "d81b2347ab6bfffeeafcbbcf906d34ea4091ad20abe519d2208a8153b5915de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2092",
    "kind": "arxiv",
    "version": 2
  }
}