Pith Number

pith:PHIAQYRO

pith:2013:PHIAQYRO23FEHOHX3W7Q2XHIIX

not attested not anchored not stored refs pending

Hidden symmetry and Collective behavior

Bin Ao, Lei Yang, Liang Huang, Zhigang Zhu

arxiv:1304.5844 v1 · 2013-04-22 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHIAQYRO23FEHOHX3W7Q2XHIIX}

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	2026-05-18T03:27:23.948499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d008622ed6ca43b8f7ddbf0d5ce845e2089f494758f9d6dcb00994cde6ec3f

Aliases

arxiv: 1304.5844 · arxiv_version: 1304.5844v1 · doi: 10.48550/arxiv.1304.5844 · pith_short_12: PHIAQYRO23FE · pith_short_16: PHIAQYRO23FEHOHX · pith_short_8: PHIAQYRO

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/PHIAQYRO23FEHOHX3W7Q2XHIIX \
  | 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: 79d008622ed6ca43b8f7ddbf0d5ce845e2089f494758f9d6dcb00994cde6ec3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24d46ae6f1d442a4f57bab28e6d07a0aa5dd6a364fb744a2163271a88cdf3c9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-04-22T06:05:53Z",
    "title_canon_sha256": "69c822bccb74b8c76539934f126cbdd0a3d9e84e5f272b0c4cfb3a8ebb4209ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5844",
    "kind": "arxiv",
    "version": 1
  }
}