Pith Number

pith:TGTJ5RF3

pith:2025:TGTJ5RF3YA43X466QLTTZ44OED

not attested not anchored not stored refs pending

Even periodization of spectral stacks

Rok Gregoric

arxiv:2504.16410 v1 · 2025-04-23 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGTJ5RF3YA43X466QLTTZ44OED}

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	2026-07-05T10:52:46.260338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a69ec4bbc039bbf3de82e73cf38e20f836347b4a4edb96489d4b5e81cd412a

Aliases

arxiv: 2504.16410 · arxiv_version: 2504.16410v1 · doi: 10.48550/arxiv.2504.16410 · pith_short_12: TGTJ5RF3YA43 · pith_short_16: TGTJ5RF3YA43X466 · pith_short_8: TGTJ5RF3

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/TGTJ5RF3YA43X466QLTTZ44OED \
  | 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: 99a69ec4bbc039bbf3de82e73cf38e20f836347b4a4edb96489d4b5e81cd412a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607869e52375775d6bcd1af50de37960cd95b0f6265592163c5af090815f7e97",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-23T04:25:33Z",
    "title_canon_sha256": "5376d81887f8bc89e0996e2e9fcd1642a85c5d7bb16a2624c244856d0b090eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16410",
    "kind": "arxiv",
    "version": 1
  }
}