Pith Number

pith:35UHYNZK

pith:2015:35UHYNZKFGYPJSN35UYKD4DMXN

not attested not anchored not stored refs pending

On the supercongruence conjectures of van Hamme

Holly Swisher

arxiv:1504.01028 v1 · 2015-04-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35UHYNZKFGYPJSN35UYKD4DMXN}

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	2026-05-18T02:19:35.323271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df687c372a29b0f4c9bbed30a1f06cbb7ad09da90df12f6521f237227f86cdc4

Aliases

arxiv: 1504.01028 · arxiv_version: 1504.01028v1 · doi: 10.48550/arxiv.1504.01028 · pith_short_12: 35UHYNZKFGYP · pith_short_16: 35UHYNZKFGYPJSN3 · pith_short_8: 35UHYNZK

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/35UHYNZKFGYPJSN35UYKD4DMXN \
  | 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: df687c372a29b0f4c9bbed30a1f06cbb7ad09da90df12f6521f237227f86cdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c5ede2a73f3be9c4e87083828492c94c258a6005b53dfd7abeca9c70294b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-04T17:15:18Z",
    "title_canon_sha256": "accdd8c32e3dc5c6022356d550347a4805b842cc342455b35866d5f1adb97476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01028",
    "kind": "arxiv",
    "version": 1
  }
}