Pith Number

pith:IFU64EFD

pith:2010:IFU64EFDUTQSJBNAMD75CYZTIY

not attested not anchored not stored refs pending

Ma\~n\'e's conjectures in codimension one

Daniel Massart, Ugo Bessi

arxiv:1009.5474 v1 · 2010-09-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFU64EFDUTQSJBNAMD75CYZTIY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:23:46.072627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4169ee10a3a4e12485a060ffd163334626cf0362660e4b80ff4a6e5d0b8f0fb5

Aliases

arxiv: 1009.5474 · arxiv_version: 1009.5474v1 · doi: 10.48550/arxiv.1009.5474 · pith_short_12: IFU64EFDUTQS · pith_short_16: IFU64EFDUTQSJBNA · pith_short_8: IFU64EFD

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/IFU64EFDUTQSJBNAMD75CYZTIY \
  | 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: 4169ee10a3a4e12485a060ffd163334626cf0362660e4b80ff4a6e5d0b8f0fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e47c22ec27199173f17b89657dd4ef853808a557a2f25d5073305d127f8fa8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-28T07:25:49Z",
    "title_canon_sha256": "2f671d2fc3fdd81637c3519212794ecda38df6e1a455d38703953825bdf15e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5474",
    "kind": "arxiv",
    "version": 1
  }
}