Pith Number

pith:SSOXDHF5

pith:2013:SSOXDHF5KH73IGWXP3CQ5XXYGJ

not attested not anchored not stored refs pending

Every flat surface is Birkhoff and Oseledets generic in almost every direction

Alex Eskin, Jon Chaika

arxiv:1305.1104 v4 · 2013-05-06 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSOXDHF5KH73IGWXP3CQ5XXYGJ}

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	2026-05-18T02:25:40.582571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

949d719cbd51ffb41ad77ec50edef83256f182481adf0fe9974071cbb7b672ef

Aliases

arxiv: 1305.1104 · arxiv_version: 1305.1104v4 · doi: 10.48550/arxiv.1305.1104 · pith_short_12: SSOXDHF5KH73 · pith_short_16: SSOXDHF5KH73IGWX · pith_short_8: SSOXDHF5

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/SSOXDHF5KH73IGWXP3CQ5XXYGJ \
  | 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: 949d719cbd51ffb41ad77ec50edef83256f182481adf0fe9974071cbb7b672ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a456e0e68e3113936fc60b8ef0dd525924a4e73df193c8ba500fbb06312b2a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-06T07:48:54Z",
    "title_canon_sha256": "1630c9c7f5036c3f0de26ce0145b2e4c7cbe81e95ef257fb8e46c898af10142c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1104",
    "kind": "arxiv",
    "version": 4
  }
}