Pith Number

pith:7WO4TJ54

pith:2017:7WO4TJ54N7CWBOVWIVBSQVT4AQ

not attested not anchored not stored refs pending

Dynamic Transition in Symbiotic Evolution Induced by Growth Rate Variation

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

arxiv:1704.03355 v1 · 2017-04-11 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WO4TJ54N7CWBOVWIVBSQVT4AQ}

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	2026-05-18T00:45:38.539777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9dc9a7bc6fc560bab6454328567c0416ea3fe47bd38421c03c0064ed2c415c

Aliases

arxiv: 1704.03355 · arxiv_version: 1704.03355v1 · doi: 10.48550/arxiv.1704.03355 · pith_short_12: 7WO4TJ54N7CW · pith_short_16: 7WO4TJ54N7CWBOVW · pith_short_8: 7WO4TJ54

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/7WO4TJ54N7CWBOVWIVBSQVT4AQ \
  | 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: fd9dc9a7bc6fc560bab6454328567c0416ea3fe47bd38421c03c0064ed2c415c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd02211dba0d4c7857035c3af437c43ec2a60dbaaf737e812add166c1e06ecf",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2017-04-11T15:27:38Z",
    "title_canon_sha256": "96e9b56c74fb4c64c2facd6ac39da6b84b26f92a9eb21f9c03b07b5a38ead22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03355",
    "kind": "arxiv",
    "version": 1
  }
}