Pith Number

pith:JACFTTPF

pith:2013:JACFTTPFVQI3P36NZRJT6KDMOX

not attested not anchored not stored refs pending

Relative algebraic K-theory by elementary means

Daniel R. Grayson

arxiv:1310.8644 v2 · 2013-10-31 · 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{JACFTTPFVQI3P36NZRJT6KDMOX}

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	2026-05-18T01:20:47.613792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480459cde5ac11b7efcdcc533f286c75f6c83e2800344074af3c440e5c702f29

Aliases

arxiv: 1310.8644 · arxiv_version: 1310.8644v2 · doi: 10.48550/arxiv.1310.8644 · pith_short_12: JACFTTPFVQI3 · pith_short_16: JACFTTPFVQI3P36N · pith_short_8: JACFTTPF

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/JACFTTPFVQI3P36NZRJT6KDMOX \
  | 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: 480459cde5ac11b7efcdcc533f286c75f6c83e2800344074af3c440e5c702f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a3f2702e50a7cf7db22949eb957fec173e3a59dd4c248077e30c86abb5e8e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-10-31T19:09:39Z",
    "title_canon_sha256": "6ebe7254673c6de48dc8163f63454bc9b8b814c2b0d6966628f604c735436ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8644",
    "kind": "arxiv",
    "version": 2
  }
}