Pith Number

pith:6IASPCG6

pith:2025:6IASPCG6P7TDWNCRUQ2ZFCJACR

not attested not anchored not stored refs pending

Zoll manifolds with boundary

Eduardo Longa, Paolo Piccione, Roney Santos

arxiv:2510.26725 v2 · 2025-10-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IASPCG6P7TDWNCRUQ2ZFCJACR}

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	2026-06-05T01:14:30.416586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2012788de7fe63b3451a4359289201442ff94ea37e501932cce1486e80fba8f

Aliases

arxiv: 2510.26725 · arxiv_version: 2510.26725v2 · doi: 10.48550/arxiv.2510.26725 · pith_short_12: 6IASPCG6P7TD · pith_short_16: 6IASPCG6P7TDWNCR · pith_short_8: 6IASPCG6

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/6IASPCG6P7TDWNCRUQ2ZFCJACR \
  | 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: f2012788de7fe63b3451a4359289201442ff94ea37e501932cce1486e80fba8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd43f16fd3e5b45dc5720b899777f627a6ba78d7750ccf5a8e096387dc2f7558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-10-30T17:25:38Z",
    "title_canon_sha256": "629b0abd8294b1ce3454101797f7923066efee57c09a0073af9d447fa5305626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.26725",
    "kind": "arxiv",
    "version": 2
  }
}