Pith Number

pith:5GQZ5UEG

pith:2007:5GQZ5UEGJQETT6WGW6NIV5XXTW

not attested not anchored not stored refs pending

A new proof of a theorem of Mansour and Sun

Victor J. W. Guo

arxiv:0711.2769 v1 · 2007-11-18 · math.CO · 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{5GQZ5UEGJQETT6WGW6NIV5XXTW}

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	2026-05-18T04:26:01.626294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a19ed0864c0939fac6b79a8af6f79db11f822a66bed77046d21e6ad961db20

Aliases

arxiv: 0711.2769 · arxiv_version: 0711.2769v1 · doi: 10.48550/arxiv.0711.2769 · pith_short_12: 5GQZ5UEGJQET · pith_short_16: 5GQZ5UEGJQETT6WG · pith_short_8: 5GQZ5UEG

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/5GQZ5UEGJQETT6WGW6NIV5XXTW \
  | 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: e9a19ed0864c0939fac6b79a8af6f79db11f822a66bed77046d21e6ad961db20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf37570768f549e7ea9137a9d60d2f2a786a8921b15b8e85c7483a29ed1d0aff",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-11-18T03:37:22Z",
    "title_canon_sha256": "2070045e431264210b31e5c22279e9a5c98c66c22cb7163e895167f0477f2817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2769",
    "kind": "arxiv",
    "version": 1
  }
}