Pith Number

pith:G24RB6ZX

pith:2023:G24RB6ZXAGXV6JLEDGWG72NG27

not attested not anchored not stored refs pending

A lower bound on volumes of end-periodic mapping tori

Autumn Kent, Christopher Leininger, Elizabeth Field, Marissa Loving

arxiv:2306.03279 v2 · 2023-06-05 · math.GT · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G24RB6ZXAGXV6JLEDGWG72NG27}

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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	2026-07-05T11:56:12.561302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b910fb3701af5f256419ac6fe9a6d7ceace6f60145a142cae11f4ef08c2f78

Aliases

arxiv: 2306.03279 · arxiv_version: 2306.03279v2 · doi: 10.48550/arxiv.2306.03279 · pith_short_12: G24RB6ZXAGXV · pith_short_16: G24RB6ZXAGXV6JLE · pith_short_8: G24RB6ZX

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/G24RB6ZXAGXV6JLEDGWG72NG27 \
  | 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: 36b910fb3701af5f256419ac6fe9a6d7ceace6f60145a142cae11f4ef08c2f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1057a474b875c431384b442ff8b3205dea3ca4f1e8d23f90c24d3c2b8e1f6c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-06-05T21:55:30Z",
    "title_canon_sha256": "abdfe6941c35fdee54445c454b510ba4f90c0415f08087990404c0f59843de37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.03279",
    "kind": "arxiv",
    "version": 2
  }
}