Pith Number

pith:IALMCMUM

pith:2012:IALMCMUMJUPGAJIIV2L7KMXW2C

not attested not anchored not stored refs pending

Dominator Tree Certification and Independent Spanning Trees

Loukas Georgiadis, Robert E. Tarjan

arxiv:1210.8303 v3 · 2012-10-31 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IALMCMUMJUPGAJIIV2L7KMXW2C}

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	2026-05-18T03:31:33.751045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4016c1328c4d1e602508ae97f532f6d0a2f228abfc477f90eb6fd1acc705d645

Aliases

arxiv: 1210.8303 · arxiv_version: 1210.8303v3 · doi: 10.48550/arxiv.1210.8303 · pith_short_12: IALMCMUMJUPG · pith_short_16: IALMCMUMJUPGAJII · pith_short_8: IALMCMUM

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/IALMCMUMJUPGAJIIV2L7KMXW2C \
  | 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: 4016c1328c4d1e602508ae97f532f6d0a2f228abfc477f90eb6fd1acc705d645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8c927e4ed265ab29eadb0ef895ecca7ece377082c0c8815b0c1340b436be39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-10-31T11:32:55Z",
    "title_canon_sha256": "47004ba6c23b03ed428fba5c7f7d05bc7e381c39e75d27c04a8c8408baa96dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8303",
    "kind": "arxiv",
    "version": 3
  }
}