Pith Number

pith:BSOLZDBZ

pith:2011:BSOLZDBZJM26DR2G7JO3TW4626

not attested not anchored not stored refs pending

Global Dynamics of the smallest Chemical Reaction System with Hopf Bifurcation

Hal L. Smith

arxiv:1109.5204 v1 · 2011-09-23 · 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{BSOLZDBZJM26DR2G7JO3TW4626}

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	2026-05-18T04:12:20.393354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9cbc8c394b35e1c746fa5db9db9ed79cac228dababfa4d34fc3db8873ec648

Aliases

arxiv: 1109.5204 · arxiv_version: 1109.5204v1 · doi: 10.48550/arxiv.1109.5204 · pith_short_12: BSOLZDBZJM26 · pith_short_16: BSOLZDBZJM26DR2G · pith_short_8: BSOLZDBZ

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/BSOLZDBZJM26DR2G7JO3TW4626 \
  | 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: 0c9cbc8c394b35e1c746fa5db9db9ed79cac228dababfa4d34fc3db8873ec648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76d3d3d3fa14b936e44e12be1cbe15ea73018cf2ba00e2888beee45d78b367f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-23T21:37:39Z",
    "title_canon_sha256": "148cc4fe140990549773eeae25e811d2e3e62cf7d8b364dce6b091560910e170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5204",
    "kind": "arxiv",
    "version": 1
  }
}