Pith Number

pith:VID35WYO

pith:2013:VID35WYOMLFKTEDKKXAU4SLS7U

not attested not anchored not stored refs pending

Equivariant Hopf bifurcation with arbitrary pressure laws

Jinghua Yao, Tong Li

arxiv:1312.4248 v3 · 2013-12-16 · math.AP · 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{VID35WYOMLFKTEDKKXAU4SLS7U}

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	2026-05-18T02:48:46.535096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa07bedb0e62caa9906a55c14e4972fd1ba62bc7c8a89ccb1d2f5c034c4a32ba

Aliases

arxiv: 1312.4248 · arxiv_version: 1312.4248v3 · doi: 10.48550/arxiv.1312.4248 · pith_short_12: VID35WYOMLFK · pith_short_16: VID35WYOMLFKTEDK · pith_short_8: VID35WYO

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/VID35WYOMLFKTEDKKXAU4SLS7U \
  | 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: aa07bedb0e62caa9906a55c14e4972fd1ba62bc7c8a89ccb1d2f5c034c4a32ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dae64a7d48f4de605a13915eb8da8e086668c847d1cc5c5131e6967a8f70bfa",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-16T04:59:51Z",
    "title_canon_sha256": "d1971855f2e39d17e90d82c40c8b63d993bcf668c496174a4327909ca33c8873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4248",
    "kind": "arxiv",
    "version": 3
  }
}