Pith Number

pith:XKXEH67U

pith:2013:XKXEH67U5FJ7PDH73LIQRTJ24W

not attested not anchored not stored refs pending

High-order phase transitions in the quadratic family

Daniel Coronel, Juan Rivera-Letelier

arxiv:1305.4971 v1 · 2013-05-21 · 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{XKXEH67U5FJ7PDH73LIQRTJ24W}

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	2026-05-18T03:25:13.847028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baae43fbf4e953f78cffdad108cd3ae5814ab4993f86857b29475fc76b01de02

Aliases

arxiv: 1305.4971 · arxiv_version: 1305.4971v1 · doi: 10.48550/arxiv.1305.4971 · pith_short_12: XKXEH67U5FJ7 · pith_short_16: XKXEH67U5FJ7PDH7 · pith_short_8: XKXEH67U

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/XKXEH67U5FJ7PDH73LIQRTJ24W \
  | 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: baae43fbf4e953f78cffdad108cd3ae5814ab4993f86857b29475fc76b01de02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997c84127447ef17949a3428c94911e8c0e6f1b136aa11b061000143f002e885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-21T21:43:16Z",
    "title_canon_sha256": "38b68db4783e9bb5a8652be6dbae1971d3d912fa472d6af51f98129134a2e8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4971",
    "kind": "arxiv",
    "version": 1
  }
}