Pith Number

pith:T4JVYWJC

pith:2014:T4JVYWJC66CD6HP2O6YFPUCWWV

not attested not anchored not stored refs pending

Generalization of Mrs. Gerber's Lemma

Fan Cheng

arxiv:1409.1668 v2 · 2014-09-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4JVYWJC66CD6HP2O6YFPUCWWV}

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	2026-05-18T02:43:01.900400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f135c5922f7843f1dfa77b057d056b55c37e1616c4173417c03ce23fe423b59

Aliases

arxiv: 1409.1668 · arxiv_version: 1409.1668v2 · doi: 10.48550/arxiv.1409.1668 · pith_short_12: T4JVYWJC66CD · pith_short_16: T4JVYWJC66CD6HP2 · pith_short_8: T4JVYWJC

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/T4JVYWJC66CD6HP2O6YFPUCWWV \
  | 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: 9f135c5922f7843f1dfa77b057d056b55c37e1616c4173417c03ce23fe423b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660bdba5e361776166d0725c0684b6865f026d3ea956d633c64f8783daade487",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-05T06:43:35Z",
    "title_canon_sha256": "207e1998a80ba68e8c723baaf22a872ab8b82c00f20c5c65d2fe73bf3941f5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1668",
    "kind": "arxiv",
    "version": 2
  }
}