Pith Number

pith:32O2SNCJ

pith:2025:32O2SNCJLEJ5K2HORSBXWKNXL5

not attested not anchored not stored refs pending

Augmented links, shadow links, and the TV volume conjecture: a geometric perspective

Dionne Ibarra, Emma N. McQuire, Jessica S. Purcell

arxiv:2506.09296 v1 · 2025-06-10 · 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{32O2SNCJLEJ5K2HORSBXWKNXL5}

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	2026-07-05T11:19:34.370810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9da934495913d568ee8c837b29b75f5872fb94f211d6e16cbaf7e699e99bd5

Aliases

arxiv: 2506.09296 · arxiv_version: 2506.09296v1 · doi: 10.48550/arxiv.2506.09296 · pith_short_12: 32O2SNCJLEJ5 · pith_short_16: 32O2SNCJLEJ5K2HO · pith_short_8: 32O2SNCJ

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/32O2SNCJLEJ5K2HORSBXWKNXL5 \
  | 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: de9da934495913d568ee8c837b29b75f5872fb94f211d6e16cbaf7e699e99bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ec0411135dcb54931157b735c3f9a3d2b29f8f2c3858334de2cff7790a3698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-10T23:13:58Z",
    "title_canon_sha256": "f54bbba0499b063ea70a7d0c96c51db63797fa03906c537add3a3590513b1b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09296",
    "kind": "arxiv",
    "version": 1
  }
}