Pith Number

pith:TAN4OJWW

pith:2010:TAN4OJWWWJAUGJ5PSOS5AM7GTA

not attested not anchored not stored refs pending

The problem of predecessors on spanning trees

V.B. Priezzhev, V.S. Poghosyan

arxiv:1010.5415 v1 · 2010-10-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAN4OJWWWJAUGJ5PSOS5AM7GTA}

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	2026-05-18T03:15:45.706412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981bc726d6b2414327af93a5d033e6980990fbe6b376153b9b89aabba39c939c

Aliases

arxiv: 1010.5415 · arxiv_version: 1010.5415v1 · doi: 10.48550/arxiv.1010.5415 · pith_short_12: TAN4OJWWWJAU · pith_short_16: TAN4OJWWWJAUGJ5P · pith_short_8: TAN4OJWW

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/TAN4OJWWWJAUGJ5PSOS5AM7GTA \
  | 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: 981bc726d6b2414327af93a5d033e6980990fbe6b376153b9b89aabba39c939c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9459f230a35e44633439c5c8bb0c53d3c6acb9b422f104d076b61cbfe8753191",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-10-26T14:33:43Z",
    "title_canon_sha256": "db772a55f7a25f5c17edffa8004e9eeb21b73eb1054fe93f92d87f9629499d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5415",
    "kind": "arxiv",
    "version": 1
  }
}