Pith Number

pith:E274YK2D

pith:2007:E274YK2DQJGCV7H4MPAA2CIVTN

not attested not anchored not stored refs pending

Abstract factorials

Angelo B. Mingarelli

arxiv:0705.4299 v3 · 2007-05-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E274YK2DQJGCV7H4MPAA2CIVTN}

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	2026-05-18T03:51:25.948825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26bfcc2b43824c2afcfc63c00d09159b57f10a09285b48225fd19d968cd33deb

Aliases

arxiv: 0705.4299 · arxiv_version: 0705.4299v3 · doi: 10.48550/arxiv.0705.4299 · pith_short_12: E274YK2DQJGC · pith_short_16: E274YK2DQJGCV7H4 · pith_short_8: E274YK2D

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/E274YK2DQJGCV7H4MPAA2CIVTN \
  | 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: 26bfcc2b43824c2afcfc63c00d09159b57f10a09285b48225fd19d968cd33deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995c4d0e8f15bd5aba6189fc408f51f95a73088daa967c82406fbcd004798266",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-05-29T21:41:13Z",
    "title_canon_sha256": "383eb792298cd89a5467456c62f88e55565f4567db5f377f8d1d02c9ccea0265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4299",
    "kind": "arxiv",
    "version": 3
  }
}