Pith Number

pith:3TEKVGAG

pith:2013:3TEKVGAGDLJQ663RJYPMSRXNEF

not attested not anchored not stored refs pending

A Galois-theoretic proof of the differential transcendence of the incomplete Gamma function

Carlos E. Arreche

arxiv:1304.1917 v1 · 2013-04-06 · math.CA · math.AC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TEKVGAGDLJQ663RJYPMSRXNEF}

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	2026-05-18T03:21:43.116656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcc8aa98061ad30f7b714e1ec946ed217e332064bad6b69b11b35b537667c501

Aliases

arxiv: 1304.1917 · arxiv_version: 1304.1917v1 · doi: 10.48550/arxiv.1304.1917 · pith_short_12: 3TEKVGAGDLJQ · pith_short_16: 3TEKVGAGDLJQ663R · pith_short_8: 3TEKVGAG

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/3TEKVGAGDLJQ663RJYPMSRXNEF \
  | 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: dcc8aa98061ad30f7b714e1ec946ed217e332064bad6b69b11b35b537667c501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3955f9d027a25259027bb140c9f1faeb9a02bedc35b4e25a899662740b98f472",
    "cross_cats_sorted": [
      "math.AC",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-06T17:40:15Z",
    "title_canon_sha256": "8e693a32daa628061ff01697981a6e3503c2c18e441f42b91bcc7f0512d4d4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1917",
    "kind": "arxiv",
    "version": 1
  }
}