Pith Number

pith:W74A3RXO

pith:2006:W74A3RXOKU6NHA4B3CREFAKGQU

not attested not anchored not stored refs pending

Cohomological estimates for $\cat(X,\xi)$

Dirk Schuetz, Michael Farber

arxiv:math/0609005 v1 · 2006-08-31 · 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{W74A3RXOKU6NHA4B3CREFAKGQU}

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	2026-05-18T02:37:59.558889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f80dc6ee553cd38381d8a2428146851324fe73c10f7af5cf8e427a08ebbf1f

Aliases

arxiv: math/0609005 · arxiv_version: math/0609005v1 · doi: 10.48550/arxiv.math/0609005 · pith_short_12: W74A3RXOKU6N · pith_short_16: W74A3RXOKU6NHA4B · pith_short_8: W74A3RXO

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/W74A3RXOKU6NHA4B3CREFAKGQU \
  | 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: b7f80dc6ee553cd38381d8a2428146851324fe73c10f7af5cf8e427a08ebbf1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b5b3fa3a92309d186aa8125011c6affd4cdf27a18fcb54be81850a67689fed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-08-31T21:41:25Z",
    "title_canon_sha256": "226be11d369bebdc15a2d75f839575795803cf4495144527042242879dba825b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609005",
    "kind": "arxiv",
    "version": 1
  }
}