Pith Number

pith:RS5I5QBE

pith:2019:RS5I5QBE4TRMVZPZBNZSN53YUY

not attested not anchored not stored refs pending

Euler and the Gammafunction

Alexander Aycock

arxiv:1908.01571 v5 · 2019-08-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS5I5QBE4TRMVZPZBNZSN53YUY}

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	2026-07-05T00:59:53.402436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cba8ec024e4e2cae5f90b7326f778a6168fb2a7b899e65ffd22be82d1803b66

Aliases

arxiv: 1908.01571 · arxiv_version: 1908.01571v5 · doi: 10.48550/arxiv.1908.01571 · pith_short_12: RS5I5QBE4TRM · pith_short_16: RS5I5QBE4TRMVZPZ · pith_short_8: RS5I5QBE

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/RS5I5QBE4TRMVZPZBNZSN53YUY \
  | 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: 8cba8ec024e4e2cae5f90b7326f778a6168fb2a7b899e65ffd22be82d1803b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24287f9d0ac991ca79b5a3bb8fcd9bf0ad43b7369693b9e8d5beddb0145ebd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-08-05T12:03:46Z",
    "title_canon_sha256": "b386b3c38f759f82a26e4c3b842d03f5519a2f57ab524b88131da7a90dd0b30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01571",
    "kind": "arxiv",
    "version": 5
  }
}