Pith Number

pith:ZMDTWXRI

pith:2014:ZMDTWXRIU7KMRXUIAFUEI7MNXY

not attested not anchored not stored refs pending

Wolfe's theorem for weakly differentiable cochains

Camille Petit, Kai Rajala, Stefan Wenger

arxiv:1401.7956 v1 · 2014-01-30 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMDTWXRIU7KMRXUIAFUEI7MNXY}

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	2026-05-18T03:00:37.780846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb073b5e28a7d4c8de880168447d8dbe10464e5fd305f3fc70c8f99b2faa739d

Aliases

arxiv: 1401.7956 · arxiv_version: 1401.7956v1 · doi: 10.48550/arxiv.1401.7956 · pith_short_12: ZMDTWXRIU7KM · pith_short_16: ZMDTWXRIU7KMRXUI · pith_short_8: ZMDTWXRI

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/ZMDTWXRIU7KMRXUIAFUEI7MNXY \
  | 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: cb073b5e28a7d4c8de880168447d8dbe10464e5fd305f3fc70c8f99b2faa739d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1297a19e1474d0474ae0cfc86a1a445cd8054bb456d2a0241be7009670494f33",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-30T19:11:03Z",
    "title_canon_sha256": "11d1991d6d8754aa5f79a168ec5de3a3bdccd4063b6253858b61d4b0d029675c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7956",
    "kind": "arxiv",
    "version": 1
  }
}