Pith Number

pith:KFZCO6UW

pith:2026:KFZCO6UW3FVAO7HMHTNKXTH3F7

not attested not anchored not stored refs pending

Mixed Hodge formality

Pedro Magalh\~aes

arxiv:2607.21176 v1 · 2026-07-23 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFZCO6UW3FVAO7HMHTNKXTH3F7}

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	2026-07-24T01:24:17.443577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5172277a96d96a077cec3cdaabccfb2fe3c7a4c34e4bc538ed8121c1af08b5a6

Aliases

arxiv: 2607.21176 · arxiv_version: 2607.21176v1 · doi: 10.48550/arxiv.2607.21176 · pith_short_12: KFZCO6UW3FVA · pith_short_16: KFZCO6UW3FVAO7HM · pith_short_8: KFZCO6UW

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/KFZCO6UW3FVAO7HMHTNKXTH3F7 \
  | 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: 5172277a96d96a077cec3cdaabccfb2fe3c7a4c34e4bc538ed8121c1af08b5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fdc80e95debf8aa7c078562aa1eb4aa21f746c3db6bb20b40d53dfff751477",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-23T11:07:31Z",
    "title_canon_sha256": "4295b08e9f1e1d656c6854c72022651b3f298129f877c6347bf17ce4b069c061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21176",
    "kind": "arxiv",
    "version": 1
  }
}