Pith Number

pith:TNQ2LIX4

pith:2015:TNQ2LIX4K5XT7ADZK23HNBE53G

not attested not anchored not stored refs pending

Mean-field coupling of identical expanding circle maps

Fanni S\'elley, P\'eter B\'alint

arxiv:1512.05556 v2 · 2015-12-17 · 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{TNQ2LIX4K5XT7ADZK23HNBE53G}

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	2026-05-18T00:55:58.381522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b61a5a2fc576f3f807956b676849dd994ef6486419c8e8e9e043d36e3905a82

Aliases

arxiv: 1512.05556 · arxiv_version: 1512.05556v2 · doi: 10.48550/arxiv.1512.05556 · pith_short_12: TNQ2LIX4K5XT · pith_short_16: TNQ2LIX4K5XT7ADZ · pith_short_8: TNQ2LIX4

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/TNQ2LIX4K5XT7ADZK23HNBE53G \
  | 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: 9b61a5a2fc576f3f807956b676849dd994ef6486419c8e8e9e043d36e3905a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e83e1487c8d3a14b9b5008fec9ef323b75bbc5e39dbabed8a4d3150c494333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-17T12:29:45Z",
    "title_canon_sha256": "82f3fa5503601b1a5928e88cd899ffdf9aad135082efec72419d430366b2f137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05556",
    "kind": "arxiv",
    "version": 2
  }
}