Pith Number

pith:GICDQ6IB

pith:2025:GICDQ6IBHKOGEP4ML37JWSQUJ3

not attested not anchored not stored refs pending

Volumes of end-periodic mapping tori

Marissa Loving

arxiv:2508.14244 v1 · 2025-08-19 · math.GT · 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{GICDQ6IBHKOGEP4ML37JWSQUJ3}

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	2026-07-05T11:56:28.762826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32043879013a9c623f8c5efe9b4a144ec3dceb1fd5c32acdc65ed713a1a03088

Aliases

arxiv: 2508.14244 · arxiv_version: 2508.14244v1 · doi: 10.48550/arxiv.2508.14244 · pith_short_12: GICDQ6IBHKOG · pith_short_16: GICDQ6IBHKOGEP4M · pith_short_8: GICDQ6IB

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/GICDQ6IBHKOGEP4ML37JWSQUJ3 \
  | 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: 32043879013a9c623f8c5efe9b4a144ec3dceb1fd5c32acdc65ed713a1a03088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1df0777a1d4801daf225c6942e25a0c485c32a6011f068bcb9bc56bb8bb024",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-19T20:02:41Z",
    "title_canon_sha256": "29fe34578e29177896f4eb5b132f6680fcad1d0695a00d82e97e5ee9e9c31a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14244",
    "kind": "arxiv",
    "version": 1
  }
}