Pith Number

pith:EWJANM2K

pith:2010:EWJANM2K4FXHL6M2ORALDJMVXE

not attested not anchored not stored refs pending

A refinement of a congruence result by van Hamme and Mortenson

Zhi-Wei Sun

arxiv:1011.1902 v6 · 2010-11-08 · math.NT · 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{EWJANM2K4FXHL6M2ORALDJMVXE}

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	2026-05-18T02:58:46.851991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

259206b34ae16e75f99a7440b1a595b92ec985bd451f1f566b179866920aea57

Aliases

arxiv: 1011.1902 · arxiv_version: 1011.1902v6 · doi: 10.48550/arxiv.1011.1902 · pith_short_12: EWJANM2K4FXH · pith_short_16: EWJANM2K4FXHL6M2 · pith_short_8: EWJANM2K

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/EWJANM2K4FXHL6M2ORALDJMVXE \
  | 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: 259206b34ae16e75f99a7440b1a595b92ec985bd451f1f566b179866920aea57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1569a4a4b7277517a8d5b41f28623eb84005f16844069db89c45ca1ca4541415",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-08T20:55:31Z",
    "title_canon_sha256": "34ba3bd78cfe8dbe2512db15627a2a6981a4b3ebee156745625f3a3ddad3455e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1902",
    "kind": "arxiv",
    "version": 6
  }
}