Pith Number

pith:APFPN5QD

pith:2024:APFPN5QDC2BC7LP3RNXFV7Q4WQ

not attested not anchored not stored refs pending

Cyclotomic synthetic spectra

Benjamin Antieau, Noah Riggenbach

arxiv:2411.19929 v1 · 2024-11-29 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APFPN5QDC2BC7LP3RNXFV7Q4WQ}

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	2026-07-05T09:42:15.631123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03caf6f60316822fadfb8b6e5afe1cb40b8298dc9f2ab0d4cad850bd2d408df3

Aliases

arxiv: 2411.19929 · arxiv_version: 2411.19929v1 · doi: 10.48550/arxiv.2411.19929 · pith_short_12: APFPN5QDC2BC · pith_short_16: APFPN5QDC2BC7LP3 · pith_short_8: APFPN5QD

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/APFPN5QDC2BC7LP3RNXFV7Q4WQ \
  | 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: 03caf6f60316822fadfb8b6e5afe1cb40b8298dc9f2ab0d4cad850bd2d408df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0d980f26188b1b96a8bffee9d186106a077e1c2d63652e90f30b194432dd14",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-11-29T18:41:35Z",
    "title_canon_sha256": "17ca69fceddc6d323034ed8654e0b119977290491788b8054496c9f8b5af1aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19929",
    "kind": "arxiv",
    "version": 1
  }
}