Pith Number

pith:B5O4AD7S

pith:2010:B5O4AD7S6O7G7CG7HWGTAPMTIH

not attested not anchored not stored refs pending

Fast embedding of spanning trees in biased Maker-Breaker games

Asaf Ferber, Dan Hefetz, Michael Krivelevich

arxiv:1010.2857 v1 · 2010-10-14 · 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{B5O4AD7S6O7G7CG7HWGTAPMTIH}

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	2026-05-18T04:39:18.998426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5dc00ff2f3be6f88df3d8d303d9341e41a7b3d0035a532ed867921469f04ae

Aliases

arxiv: 1010.2857 · arxiv_version: 1010.2857v1 · doi: 10.48550/arxiv.1010.2857 · pith_short_12: B5O4AD7S6O7G · pith_short_16: B5O4AD7S6O7G7CG7 · pith_short_8: B5O4AD7S

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/B5O4AD7S6O7G7CG7HWGTAPMTIH \
  | 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: 0f5dc00ff2f3be6f88df3d8d303d9341e41a7b3d0035a532ed867921469f04ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3788f4c38b84779774d9fce03d122d5166a35cc3b12bf070f3cc23fc5a9e3ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-14T08:58:36Z",
    "title_canon_sha256": "32277d7560b0043629362a4286c6164e119f875f98eeacd54923e1a7e7fb26dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2857",
    "kind": "arxiv",
    "version": 1
  }
}