Pith Number

pith:YI2FFF3B

pith:2015:YI2FFF3BZLB4V5AAFIR6BRGMDP

not attested not anchored not stored refs pending

A small frame and a certificate of its injectivity

Cynthia Vinzant

arxiv:1502.04656 v1 · 2015-02-16 · math.FA · cs.IT · math.AG · 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{YI2FFF3BZLB4V5AAFIR6BRGMDP}

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	2026-05-18T02:26:59.406826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c234529761cac3caf4002a23e0c4cc1beff37546e894843050f74c06685cc55b

Aliases

arxiv: 1502.04656 · arxiv_version: 1502.04656v1 · doi: 10.48550/arxiv.1502.04656 · pith_short_12: YI2FFF3BZLB4 · pith_short_16: YI2FFF3BZLB4V5AA · pith_short_8: YI2FFF3B

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/YI2FFF3BZLB4V5AAFIR6BRGMDP \
  | 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: c234529761cac3caf4002a23e0c4cc1beff37546e894843050f74c06685cc55b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3ce850e14b60232444653ad67bb44f1990a4d798644c6fd0bfd0790133957b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-16T18:26:53Z",
    "title_canon_sha256": "c53b7b34c6f14ecaf459f2a85b7a615839b6ed9af763194e5c5bc0bb4314797e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04656",
    "kind": "arxiv",
    "version": 1
  }
}