Pith Number

pith:VPV6I5JQ

pith:2025:VPV6I5JQHRE2SYWDBQGGHMKPR7

not attested not anchored not stored refs pending

Morse-Bott Volume Forms

Boris Khesin, Luke Volk

arxiv:2503.00541 v2 · 2025-03-01 · math.DG · 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{VPV6I5JQHRE2SYWDBQGGHMKPR7}

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	2026-07-05T11:58:25.601640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abebe475303c49a962c30c0c63b14f8fd47c2529f0dc05388f4c65bed4100619

Aliases

arxiv: 2503.00541 · arxiv_version: 2503.00541v2 · doi: 10.48550/arxiv.2503.00541 · pith_short_12: VPV6I5JQHRE2 · pith_short_16: VPV6I5JQHRE2SYWD · pith_short_8: VPV6I5JQ

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/VPV6I5JQHRE2SYWDBQGGHMKPR7 \
  | 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: abebe475303c49a962c30c0c63b14f8fd47c2529f0dc05388f4c65bed4100619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134d7ed9a4c331450e652f5e013dd784f45af779337f658eef4f1236e0296371",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-03-01T15:54:24Z",
    "title_canon_sha256": "dfbaf8e516c2434a2bafa0833744f30972dd70925c13dbf70d437827fb9afc6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.00541",
    "kind": "arxiv",
    "version": 2
  }
}