Pith Number

pith:VYHG2ZJ7

pith:2014:VYHG2ZJ73XPK25UUUIQZJDONLO

not attested not anchored not stored refs pending

Categorical frameworks for generalized functions

Enxin Wu, Paolo Giordano

arxiv:1402.4839 v1 · 2014-02-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYHG2ZJ73XPK25UUUIQZJDONLO}

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	2026-05-18T02:58:31.996881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0e6d653fdddead7694a221948dcd5bb0e37400fc074febd1a4c17fc4d4e3a5

Aliases

arxiv: 1402.4839 · arxiv_version: 1402.4839v1 · doi: 10.48550/arxiv.1402.4839 · pith_short_12: VYHG2ZJ73XPK · pith_short_16: VYHG2ZJ73XPK25UU · pith_short_8: VYHG2ZJ7

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/VYHG2ZJ73XPK25UUUIQZJDONLO \
  | 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: ae0e6d653fdddead7694a221948dcd5bb0e37400fc074febd1a4c17fc4d4e3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4620d51cdf2e41e778e2bb68f717264eee09061c2c5be1ff3e9a29eac25f908a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-19T22:22:12Z",
    "title_canon_sha256": "c0bd3d72a3c1a63a3d11f61136310d57df0e058834474ac57c8491db49672cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4839",
    "kind": "arxiv",
    "version": 1
  }
}