Pith Number

pith:PGBCR7WZ

pith:2024:PGBCR7WZWTQVEL7ZQJHK3IVK5N

not attested not anchored not stored refs pending

Short curves of end-periodic mapping tori

Brandis Whitfield

arxiv:2408.07044 v1 · 2024-08-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGBCR7WZWTQVEL7ZQJHK3IVK5N}

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.

Cited by

1 paper in Pith

Volumes of end-periodic mapping tori

Receipt and verification

First computed	2026-07-05T08:55:05.050389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798228fed9b4e1522ff9824eada2aaeb7660bf14bbbd5f8ce1a35218d8ae2622

Aliases

arxiv: 2408.07044 · arxiv_version: 2408.07044v1 · doi: 10.48550/arxiv.2408.07044 · pith_short_12: PGBCR7WZWTQV · pith_short_16: PGBCR7WZWTQVEL7Z · pith_short_8: PGBCR7WZ

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/PGBCR7WZWTQVEL7ZQJHK3IVK5N \
  | 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: 798228fed9b4e1522ff9824eada2aaeb7660bf14bbbd5f8ce1a35218d8ae2622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54b408cbd0a451305df05845d68d5b465e40056b20f4bc521cc2bdd4bbbd60a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-08-13T17:20:01Z",
    "title_canon_sha256": "a28cbcf89cc03f90b4f9c16441b99a40386e943c4ca559365f8c84522e3845df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.07044",
    "kind": "arxiv",
    "version": 1
  }
}