Pith Number

pith:HI4YZNE7

pith:2013:HI4YZNE7MLRYR2Y26EHIIKKRJT

not attested not anchored not stored refs pending

Tambara Functors and Commutative Ring Spectra

John Ullman

arxiv:1304.4912 v2 · 2013-04-17 · 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{HI4YZNE7MLRYR2Y26EHIIKKRJT}

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.

Cited by

1 paper in Pith

Equivariant $H\underline{\mathbb{F}}_p$-modules are wild

Receipt and verification

First computed	2026-05-18T03:25:14.021721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a398cb49f62e388eb1af10e8429514cfe8abce3f6a1b15557daa02b587c9807

Aliases

arxiv: 1304.4912 · arxiv_version: 1304.4912v2 · doi: 10.48550/arxiv.1304.4912 · pith_short_12: HI4YZNE7MLRY · pith_short_16: HI4YZNE7MLRYR2Y2 · pith_short_8: HI4YZNE7

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/HI4YZNE7MLRYR2Y26EHIIKKRJT \
  | 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: 3a398cb49f62e388eb1af10e8429514cfe8abce3f6a1b15557daa02b587c9807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8c0fe2a7148bbcf815ac62ce25088811147feacaab3ddfc0c58d310a1528ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-17T18:33:25Z",
    "title_canon_sha256": "8972760a5c3ed3ba4d728557c3ec29e60b0c1874cec65fe1b89b21886d8cbe3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4912",
    "kind": "arxiv",
    "version": 2
  }
}