Pith Number

pith:ASCR5R44

pith:2014:ASCR5R44AE644B53OTLWQH6XKE

not attested not anchored not stored refs pending

Proof of a conjecture of Mircea Merca

Victor J. W. Guo

arxiv:1405.4755 v1 · 2014-05-19 · 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{ASCR5R44AE644B53OTLWQH6XKE}

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	2026-05-18T02:51:34.733435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04851ec79c013dce07bb74d7681fd751385c0915f7b6a0702b2855d251e12dc3

Aliases

arxiv: 1405.4755 · arxiv_version: 1405.4755v1 · doi: 10.48550/arxiv.1405.4755 · pith_short_12: ASCR5R44AE64 · pith_short_16: ASCR5R44AE644B53 · pith_short_8: ASCR5R44

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/ASCR5R44AE644B53OTLWQH6XKE \
  | 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: 04851ec79c013dce07bb74d7681fd751385c0915f7b6a0702b2855d251e12dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983fa6f92dea51ff614ba557c45716e7387818e600939d93a2c79a056a4d8735",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-19T14:49:15Z",
    "title_canon_sha256": "d4018092aade63d58216a6cffd04d263af1447873b379adc4b5a59f5b5bb810c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4755",
    "kind": "arxiv",
    "version": 1
  }
}