Pith Number

pith:4T2HBLQJ

pith:2013:4T2HBLQJFBRFA77WSOYODP24MP

not attested not anchored not stored refs pending

Evasiveness of Graph Properties and Topological Fixed-Point Theorems

Carl A. Miller

arxiv:1306.0110 v2 · 2013-06-01 · math.CO · cs.CC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T2HBLQJFBRFA77WSOYODP24MP}

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	2026-05-18T03:21:23.226854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f470ae092862507ff693b0e1bf5c63cfa649d4452e9cd8f0a84d46a78d3e28

Aliases

arxiv: 1306.0110 · arxiv_version: 1306.0110v2 · doi: 10.48550/arxiv.1306.0110 · pith_short_12: 4T2HBLQJFBRF · pith_short_16: 4T2HBLQJFBRFA77W · pith_short_8: 4T2HBLQJ

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/4T2HBLQJFBRFA77WSOYODP24MP \
  | 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: e4f470ae092862507ff693b0e1bf5c63cfa649d4452e9cd8f0a84d46a78d3e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3b80f9555751a756dce69287b185227ad71c8bb2dce47942c5cd67697467a2",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-01T14:12:03Z",
    "title_canon_sha256": "631709d46d0a4f8a5fc297d704dd66585ce71a65b9a2ba9d02702364822fd0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0110",
    "kind": "arxiv",
    "version": 2
  }
}