Pith Number

pith:VZC5DF76

pith:2015:VZC5DF765XCTEBENVERTAWVG57

not attested not anchored not stored refs pending

Nil-Anosov actions

Carlos Maquera, Thierry Barbot (LANLG)

arxiv:1509.03816 v2 · 2015-09-13 · 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{VZC5DF765XCTEBENVERTAWVG57}

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	2026-05-18T01:12:55.309936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae45d197feedc532048da923305aa6efe472bc7a563b17cb61b72e20e4824b34

Aliases

arxiv: 1509.03816 · arxiv_version: 1509.03816v2 · doi: 10.48550/arxiv.1509.03816 · pith_short_12: VZC5DF765XCT · pith_short_16: VZC5DF765XCTEBEN · pith_short_8: VZC5DF76

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/VZC5DF765XCTEBENVERTAWVG57 \
  | 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: ae45d197feedc532048da923305aa6efe472bc7a563b17cb61b72e20e4824b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85ed67f7be7828130b274513b8360e548554af25aa6eff39fae3dade2a13371",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-13T06:29:13Z",
    "title_canon_sha256": "a402bd0971c9a9736b3e0534e3bb1cd87ea7dd1c7339bdd405a346c22a00d0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03816",
    "kind": "arxiv",
    "version": 2
  }
}