Pith Number

pith:JSMBMMK3

pith:2002:JSMBMMK3QAYBJRPOXQNV4GIAUA

not attested not anchored not stored refs pending

The p-chain spectral sequence

James F. Davis, Wolfgang Lueck

arxiv:math/0212074 v1 · 2002-12-05 · math.AT · 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{JSMBMMK3QAYBJRPOXQNV4GIAUA}

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	2026-05-18T01:25:48.059626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9816315b803014c5eebc1b5e1900a01632a65b249b5cdda3f73128023eb01f

Aliases

arxiv: math/0212074 · arxiv_version: math/0212074v1 · doi: 10.48550/arxiv.math/0212074 · pith_short_12: JSMBMMK3QAYB · pith_short_16: JSMBMMK3QAYBJRPO · pith_short_8: JSMBMMK3

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/JSMBMMK3QAYBJRPOXQNV4GIAUA \
  | 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: 4c9816315b803014c5eebc1b5e1900a01632a65b249b5cdda3f73128023eb01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc311ec418a21265e8468da670cd349b759df99b0872d7c1fde93aae8e479ce6",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-12-05T00:53:50Z",
    "title_canon_sha256": "b2d87251a0a8de205a85ab7988c4c00352a24ebcd6f6df57e85b28a146e06c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212074",
    "kind": "arxiv",
    "version": 1
  }
}