Pith Number

pith:PXIIF2GC

pith:2003:PXIIF2GCYXALXRLNUCHX7GY27E

not attested not anchored not stored refs pending

Another proof of Bailey's 6-psi-6 summation

Frederic Jouhet, Michael Schlosser

arxiv:math/0312236 v1 · 2003-12-11 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXIIF2GCYXALXRLNUCHX7GY27E}

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	2026-05-17T23:53:03.258834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd082e8c2c5c0bbc56da08f7f9b1af91b3e83dc623d81facf3f59aa695f9a24

Aliases

arxiv: math/0312236 · arxiv_version: math/0312236v1 · doi: 10.48550/arxiv.math/0312236 · pith_short_12: PXIIF2GCYXAL · pith_short_16: PXIIF2GCYXALXRLN · pith_short_8: PXIIF2GC

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/PXIIF2GCYXALXRLNUCHX7GY27E \
  | 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: 7dd082e8c2c5c0bbc56da08f7f9b1af91b3e83dc623d81facf3f59aa695f9a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8405162746551e74dc4786a5d5d23e3378467abda09f3c6119df3fa3619141b6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-12-11T14:32:50Z",
    "title_canon_sha256": "fa0e08560cc5f9153cd2a0e557eb8721ec403219bd92180f1960bc7ccebc5d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312236",
    "kind": "arxiv",
    "version": 1
  }
}