Pith Number

pith:TBPG4ROQ

pith:2013:TBPG4ROQNZN2DJKTY3U5YAWLRA

not attested not anchored not stored refs pending

Annular itineraries for entire functions

Gwyneth M. Stallard, Philip J. Rippon

arxiv:1301.1328 v1 · 2013-01-07 · math.DS · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBPG4ROQNZN2DJKTY3U5YAWLRA}

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	2026-05-18T03:37:06.170704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985e6e45d06e5ba1a553c6e9dc02cb882aa985371f692c02c2f48db8588a5cf3

Aliases

arxiv: 1301.1328 · arxiv_version: 1301.1328v1 · doi: 10.48550/arxiv.1301.1328 · pith_short_12: TBPG4ROQNZN2 · pith_short_16: TBPG4ROQNZN2DJKT · pith_short_8: TBPG4ROQ

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/TBPG4ROQNZN2DJKTY3U5YAWLRA \
  | 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: 985e6e45d06e5ba1a553c6e9dc02cb882aa985371f692c02c2f48db8588a5cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b755608976d1810f97c1f1451d2be35c8865ce9c281c7d10b90275fcf0300a35",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-07T20:38:36Z",
    "title_canon_sha256": "1c462a11e039456bb5ab18f7fe301fa5ff472dffb268abfb510a6313d17c66d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1328",
    "kind": "arxiv",
    "version": 1
  }
}