Pith Number

pith:SASBYT7Y

pith:2013:SASBYT7YGBQ4OIUGT7HA5FZYSM

not attested not anchored not stored refs pending

Affineness and chromatic homotopy theory

Akhil Mathew, Lennart Meier

arxiv:1311.0514 v5 · 2013-11-03 · 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{SASBYT7YGBQ4OIUGT7HA5FZYSM}

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	2026-05-18T01:11:57.992139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90241c4ff83061c722869fce0e9738932b8deb23127e1a49a61f86087dc33b7c

Aliases

arxiv: 1311.0514 · arxiv_version: 1311.0514v5 · doi: 10.48550/arxiv.1311.0514 · pith_short_12: SASBYT7YGBQ4 · pith_short_16: SASBYT7YGBQ4OIUG · pith_short_8: SASBYT7Y

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/SASBYT7YGBQ4OIUGT7HA5FZYSM \
  | 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: 90241c4ff83061c722869fce0e9738932b8deb23127e1a49a61f86087dc33b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb88784dad555da33d3495bc51447761e10fbaf7c98b8aa5f5f5f70874a1caf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-03T20:02:30Z",
    "title_canon_sha256": "d3e363466e266c5beeb88085e04ba263ad7b2629a1ea98f7f9326d02b8ece83a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0514",
    "kind": "arxiv",
    "version": 5
  }
}