Pith Number

pith:ZYDCW3FK

pith:2012:ZYDCW3FKKZV5MSOEHAGEHA6IVH

not attested not anchored not stored refs pending

Low-temperature phase transitions in the quadratic family

Daniel Coronel, Juan Rivera-Letelier

arxiv:1205.1833 v2 · 2012-05-08 · math.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{ZYDCW3FKKZV5MSOEHAGEHA6IVH}

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	2026-05-18T03:15:45.462603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce062b6caa566bd649c4380c4383c8a9de7df2f0f0233cdb102e939c8aae0264

Aliases

arxiv: 1205.1833 · arxiv_version: 1205.1833v2 · doi: 10.48550/arxiv.1205.1833 · pith_short_12: ZYDCW3FKKZV5 · pith_short_16: ZYDCW3FKKZV5MSOE · pith_short_8: ZYDCW3FK

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/ZYDCW3FKKZV5MSOEHAGEHA6IVH \
  | 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: ce062b6caa566bd649c4380c4383c8a9de7df2f0f0233cdb102e939c8aae0264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02dfe4674a0ea0de4d1c04f87426770bba1a85dc372789c7d873afb49ab7df1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-08T21:37:39Z",
    "title_canon_sha256": "c5963b2768c9e092654096f50b3500a9195c306989becaa0f844eefd0cf062af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1833",
    "kind": "arxiv",
    "version": 2
  }
}