Pith Number

pith:3DZHWSNG

pith:2012:3DZHWSNGVHPNWKGM4JW3WND7M3

not attested not anchored not stored refs pending

On Poincare series of unicritical polynomials at the critical point

Juan Rivera-Letelier, Weixiao Shen

arxiv:1210.8285 v1 · 2012-10-31 · 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{3DZHWSNGVHPNWKGM4JW3WND7M3}

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	2026-05-18T03:41:55.439311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f27b49a6a9dedb28cce26dbb347f66e08cc77e629707c3e33b0017050d1447

Aliases

arxiv: 1210.8285 · arxiv_version: 1210.8285v1 · doi: 10.48550/arxiv.1210.8285 · pith_short_12: 3DZHWSNGVHPN · pith_short_16: 3DZHWSNGVHPNWKGM · pith_short_8: 3DZHWSNG

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/3DZHWSNGVHPNWKGM4JW3WND7M3 \
  | 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: d8f27b49a6a9dedb28cce26dbb347f66e08cc77e629707c3e33b0017050d1447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e9c1d5b91caf99b2d15b0cacccaa47f0851004ec68ea07228f7dae6513ecf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-31T10:20:23Z",
    "title_canon_sha256": "f4a6436223dd0e9862b092ccd909917123e7fa91ae68706cf544aa321cd645f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8285",
    "kind": "arxiv",
    "version": 1
  }
}