Pith Number

pith:XEBT2JQ2

pith:2016:XEBT2JQ26BZRMYERSXXCCBW6MP

not attested not anchored not stored refs pending

Cyclic Adams Operations

Claudia Miller, Mark E. Walker, Michael K. Brown, Peder Thompson

arxiv:1601.05072 v2 · 2016-01-19 · math.KT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEBT2JQ26BZRMYERSXXCCBW6MP}

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	2026-05-17T23:40:50.109211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9033d261af07316609195ee2106de63e508c9e3657fc70b08cb0ea3fedbfca3

Aliases

arxiv: 1601.05072 · arxiv_version: 1601.05072v2 · doi: 10.48550/arxiv.1601.05072 · pith_short_12: XEBT2JQ26BZR · pith_short_16: XEBT2JQ26BZRMYER · pith_short_8: XEBT2JQ2

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/XEBT2JQ26BZRMYERSXXCCBW6MP \
  | 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: b9033d261af07316609195ee2106de63e508c9e3657fc70b08cb0ea3fedbfca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191efd783ab8c44cb6ce3fbaf08f0d3259c0b5eb5523c2b3fcbe7f27a1e766a5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-01-19T20:37:37Z",
    "title_canon_sha256": "bf40920a92c8455a9c318e56f10e9be3cad7a16a2f1da7e058fdcf65bbf3c940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05072",
    "kind": "arxiv",
    "version": 2
  }
}