Pith Number

pith:KFDLJZMN

pith:2007:KFDLJZMNW372U5753DAAAI6FBH

not attested not anchored not stored refs pending

Splitting formulas for certain Waldhausen Nil-groups

I. J. Ortiz, J.-F. Lafont

arxiv:0711.2533 v1 · 2007-11-15 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFDLJZMNW372U5753DAAAI6FBH}

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	2026-05-18T02:58:12.074460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5146b4e58db6ffaa77fdd8c00023c509f0e7ffc6e6096a09447b1bb2df4c83b7

Aliases

arxiv: 0711.2533 · arxiv_version: 0711.2533v1 · doi: 10.48550/arxiv.0711.2533 · pith_short_12: KFDLJZMNW372 · pith_short_16: KFDLJZMNW372U575 · pith_short_8: KFDLJZMN

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/KFDLJZMNW372U5753DAAAI6FBH \
  | 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: 5146b4e58db6ffaa77fdd8c00023c509f0e7ffc6e6096a09447b1bb2df4c83b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbcc30f337930a052bd3394322012d25fa6c931870ed031f7c0c1fed4b77e99",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-11-15T23:37:07Z",
    "title_canon_sha256": "dc13ac93bb03446c6be991e81eb7e94a3e3e0f68ce2a6661a715b4104149c2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2533",
    "kind": "arxiv",
    "version": 1
  }
}