Pith Number

pith:MTLGSKE6

pith:2013:MTLGSKE6P24UODQ7DR64QPREAZ

not attested not anchored not stored refs pending

An Arithmetic Analogue of Fox's Triangle Removal Argument

Madhur Tulsiani, Pooya Hatami, Sushant Sachdeva

arxiv:1304.4921 v3 · 2013-04-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTLGSKE6P24UODQ7DR64QPREAZ}

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	2026-05-18T01:21:38.321403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d669289e7eb9470e1f1c7dc83e24064c538e973f2980f14b6562c04981624b

Aliases

arxiv: 1304.4921 · arxiv_version: 1304.4921v3 · doi: 10.48550/arxiv.1304.4921 · pith_short_12: MTLGSKE6P24U · pith_short_16: MTLGSKE6P24UODQ7 · pith_short_8: MTLGSKE6

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/MTLGSKE6P24UODQ7DR64QPREAZ \
  | 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: 64d669289e7eb9470e1f1c7dc83e24064c538e973f2980f14b6562c04981624b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2096d9d2a524ed2cb6028ccbb4e6916f130c5f18ca1ef51fbc3fffefbb2f4d18",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-17T19:11:52Z",
    "title_canon_sha256": "9a41d64aaac110b315049c82360a4d4fca077f3a17b1af0e15bc6c2f3acee0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4921",
    "kind": "arxiv",
    "version": 3
  }
}