Pith Number

pith:J5POLUCW

pith:2012:J5POLUCWK2F5UMPWNXE7WJ67HK

not attested not anchored not stored refs pending

An algebraic characterization of expanding Thurston maps

Kevin Pilgrim, Peter Ha\"issinsky (LATP)

arxiv:1204.3214 v1 · 2012-04-14 · 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{J5POLUCWK2F5UMPWNXE7WJ67HK}

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	2026-05-18T03:34:14.156508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f5ee5d056568bda31f66dc9fb27df3ab2124c40e9ddcb4341c30baf1c845f85

Aliases

arxiv: 1204.3214 · arxiv_version: 1204.3214v1 · doi: 10.48550/arxiv.1204.3214 · pith_short_12: J5POLUCWK2F5 · pith_short_16: J5POLUCWK2F5UMPW · pith_short_8: J5POLUCW

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/J5POLUCWK2F5UMPWNXE7WJ67HK \
  | 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: 4f5ee5d056568bda31f66dc9fb27df3ab2124c40e9ddcb4341c30baf1c845f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd78cdc29b6aa7dd3ebc874d46f730d1dee39649d6604b5303e3a46a932a30e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-14T20:33:07Z",
    "title_canon_sha256": "08d47a03e9590ba584274deee027f94983fc09136d77bf34b68249fd824ea53f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3214",
    "kind": "arxiv",
    "version": 1
  }
}