Pith Number

pith:TT3ZP5Y2

pith:2012:TT3ZP5Y2KS6FXI7XDIRPBBL5L4

not attested not anchored not stored refs pending

Phase transition in the Countdown problem

Bartolo Luque, Lucas Lacasa

arxiv:1206.2876 v1 · 2012-06-13 · 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{TT3ZP5Y2KS6FXI7XDIRPBBL5L4}

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	2026-05-18T01:56:58.965234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf797f71a54bc5ba3f71a22f0857d5f33ef0220352ea65bf8fed7bc2a952ed3

Aliases

arxiv: 1206.2876 · arxiv_version: 1206.2876v1 · doi: 10.48550/arxiv.1206.2876 · pith_short_12: TT3ZP5Y2KS6F · pith_short_16: TT3ZP5Y2KS6FXI7X · pith_short_8: TT3ZP5Y2

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/TT3ZP5Y2KS6FXI7XDIRPBBL5L4 \
  | 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: 9cf797f71a54bc5ba3f71a22f0857d5f33ef0220352ea65bf8fed7bc2a952ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b8f38aeb4fd52678fbce4a5173e04d702ed1a4f3d34e467657f6d87bd6bb1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-13T17:02:45Z",
    "title_canon_sha256": "ea0b31a74e2e67dc8877e5dc21d90f91efa8bcbb5b4419028c09d2029fa924e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2876",
    "kind": "arxiv",
    "version": 1
  }
}