Pith Number

pith:4GU5XFPW

pith:2016:4GU5XFPW2ZIXFCBHPC3LIMO6TJ

not attested not anchored not stored refs pending

Sums of CR functions from competing CR structures

David E. Barrett, Dusty E. Grundmeier

arxiv:1609.09119 v2 · 2016-09-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GU5XFPW2ZIXFCBHPC3LIMO6TJ}

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	2026-05-18T00:04:08.549184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a9db95f6d65172882778b6b431de9a57055b5b2a659673db1c2ccd141d2e01

Aliases

arxiv: 1609.09119 · arxiv_version: 1609.09119v2 · doi: 10.48550/arxiv.1609.09119 · pith_short_12: 4GU5XFPW2ZIX · pith_short_16: 4GU5XFPW2ZIXFCBH · pith_short_8: 4GU5XFPW

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/4GU5XFPW2ZIXFCBHPC3LIMO6TJ \
  | 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: e1a9db95f6d65172882778b6b431de9a57055b5b2a659673db1c2ccd141d2e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f14af34a0781b5dc7e1e6dca0e343f70c28c56272c502fc343eed95b8850a8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-28T21:13:41Z",
    "title_canon_sha256": "a9b43838972cd7c0d0e92cb66af02d65c26994764e581d65b19170dd0cded3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09119",
    "kind": "arxiv",
    "version": 2
  }
}