Pith Number

pith:X4AMXZMJ

pith:2010:X4AMXZMJURCJ4KQUTCVWHDTNJG

not attested not anchored not stored refs pending

Condensation in nongeneric trees

Sigurdur Orn Stefansson, Thordur Jonsson

arxiv:1009.1826 v2 · 2010-09-09 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4AMXZMJURCJ4KQUTCVWHDTNJG}

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	2026-05-18T04:32:09.419484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf00cbe589a4449e2a1498ab638e6d49ba98307c6639d41901a7f1ea0c98fcbb

Aliases

arxiv: 1009.1826 · arxiv_version: 1009.1826v2 · doi: 10.48550/arxiv.1009.1826 · pith_short_12: X4AMXZMJURCJ · pith_short_16: X4AMXZMJURCJ4KQU · pith_short_8: X4AMXZMJ

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/X4AMXZMJURCJ4KQUTCVWHDTNJG \
  | 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: bf00cbe589a4449e2a1498ab638e6d49ba98307c6639d41901a7f1ea0c98fcbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e150d2edbe83d25bcae40a972372f3bd2ce31db046e1d0932117ba149e6857",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-09T17:00:58Z",
    "title_canon_sha256": "a06bf253f8a12c4cf83fb8114cc353842cb95ef4e373dc488fd50e58ae9105b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1826",
    "kind": "arxiv",
    "version": 2
  }
}