Pith Number

pith:AIWDU37S

pith:2013:AIWDU37SLFJE66CR4ICBS5LIQW

not attested not anchored not stored refs pending

A generalization of Frieman's 3k-3 theorem

Hao Pan, Shanshan Du

arxiv:1308.3853 v2 · 2013-08-18 · 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{AIWDU37SLFJE66CR4ICBS5LIQW}

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	2026-05-18T01:04:50.844175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022c3a6ff259524f7851e20419756885a2c179e21cb46801030a776ddc822af1

Aliases

arxiv: 1308.3853 · arxiv_version: 1308.3853v2 · doi: 10.48550/arxiv.1308.3853 · pith_short_12: AIWDU37SLFJE · pith_short_16: AIWDU37SLFJE66CR · pith_short_8: AIWDU37S

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/AIWDU37SLFJE66CR4ICBS5LIQW \
  | 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: 022c3a6ff259524f7851e20419756885a2c179e21cb46801030a776ddc822af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722f4b70be5b53ce9b722608e05b8674906ca9ac610ba1883364261150105aea",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-18T12:29:27Z",
    "title_canon_sha256": "c447a8aaf9792ec17b254a1d655e1cf44da506133fc52f93aea2ce24f583a2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3853",
    "kind": "arxiv",
    "version": 2
  }
}