Pith Number

pith:RG7JIZN3

pith:2011:RG7JIZN3G7DP5SAQBTQEA7KDJT

not attested not anchored not stored refs pending

Through the Looking-Glass of the Grazing Bifurcation: Part I - Theoretical framework

James Ing, Marian Wiercigroch, Sergey Kryzhevich

arxiv:1112.5841 v2 · 2011-12-26 · 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{RG7JIZN3G7DP5SAQBTQEA7KDJT}

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	2026-05-18T03:41:42.176825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89be9465bb37c6fec8100ce0407d434cf567e40b647148dee7dfe356e52c21b6

Aliases

arxiv: 1112.5841 · arxiv_version: 1112.5841v2 · doi: 10.48550/arxiv.1112.5841 · pith_short_12: RG7JIZN3G7DP · pith_short_16: RG7JIZN3G7DP5SAQ · pith_short_8: RG7JIZN3

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/RG7JIZN3G7DP5SAQBTQEA7KDJT \
  | 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: 89be9465bb37c6fec8100ce0407d434cf567e40b647148dee7dfe356e52c21b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1082d8f1fe5df3b0769994c913160e5fdfaeea41416a450e9ddab533f26fe8b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-26T11:24:25Z",
    "title_canon_sha256": "ff75ee98ddf236323f27d83cf23c32ca6ae306df3041b1e083de8ae78c49398b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5841",
    "kind": "arxiv",
    "version": 2
  }
}