Pith Number

pith:QBN2HWHZ

pith:2025:QBN2HWHZI5X56NI37VSB2BI63H

not attested not anchored not stored refs pending

Primitive invariants from laminations

Veronica Pasquarella

arxiv:2507.17973 v1 · 2025-07-23 · math.GT · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBN2HWHZI5X56NI37VSB2BI63H}

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	2026-07-05T11:42:38.376729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805ba3d8f9476fdf351bfd641d051ed9d71b3762f2fc7539f138f1877617bcc8

Aliases

arxiv: 2507.17973 · arxiv_version: 2507.17973v1 · doi: 10.48550/arxiv.2507.17973 · pith_short_12: QBN2HWHZI5X5 · pith_short_16: QBN2HWHZI5X56NI3 · pith_short_8: QBN2HWHZ

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/QBN2HWHZI5X56NI37VSB2BI63H \
  | 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: 805ba3d8f9476fdf351bfd641d051ed9d71b3762f2fc7539f138f1877617bcc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c17403bd83422f68d7b3f56da2eee654486ed3cfbd9b2359227a3bd9e645d9",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-23T22:42:28Z",
    "title_canon_sha256": "aa064af400271db033c4fe638d65922d75cb082951b51fb692e5112d52b8f9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17973",
    "kind": "arxiv",
    "version": 1
  }
}