Pith Number

pith:Z5Z4SVJ7

pith:2013:Z5Z4SVJ7MR3JE2TMMAAUIETKD2

not attested not anchored not stored refs pending

Global actions, K-theory and unimodular rows

Anthony Bak, Anuradha S. Garge

arxiv:1308.6792 v1 · 2013-08-30 · 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{Z5Z4SVJ7MR3JE2TMMAAUIETKD2}

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	2026-05-18T03:14:30.891273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf73c9553f6476926a6c600144126a1ead50060619a6ec3cdc74bb66da91f2d3

Aliases

arxiv: 1308.6792 · arxiv_version: 1308.6792v1 · doi: 10.48550/arxiv.1308.6792 · pith_short_12: Z5Z4SVJ7MR3J · pith_short_16: Z5Z4SVJ7MR3JE2TM · pith_short_8: Z5Z4SVJ7

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/Z5Z4SVJ7MR3JE2TMMAAUIETKD2 \
  | 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: cf73c9553f6476926a6c600144126a1ead50060619a6ec3cdc74bb66da91f2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dba738039c465d624a12cd9412cfacc9ad1b9e4779e03240d91631791b1c653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-08-30T16:39:02Z",
    "title_canon_sha256": "162cba3723822f05e37fd97dfdf810ec30d70d9b1b9ec2b1e91c94b6cf3453ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6792",
    "kind": "arxiv",
    "version": 1
  }
}