Pith Number

pith:WSXQRQST

pith:2006:WSXQRQST2P5GJBM6TNGJTP7F6Q

not attested not anchored not stored refs pending

Sheaf theory for stacks in manifolds and twisted cohomology for S^1-gerbes

Markus Spitzweck, Thomas Schick, Ulrich Bunke

arxiv:math/0603698 v3 · 2006-03-30 · 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{WSXQRQST2P5GJBM6TNGJTP7F6Q}

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	2026-05-18T02:41:31.878312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4af08c253d3fa64859e9b4c99bfe5f4375b41bdf9d512c4081601d30bc7399d

Aliases

arxiv: math/0603698 · arxiv_version: math/0603698v3 · doi: 10.48550/arxiv.math/0603698 · pith_short_12: WSXQRQST2P5G · pith_short_16: WSXQRQST2P5GJBM6 · pith_short_8: WSXQRQST

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/WSXQRQST2P5GJBM6TNGJTP7F6Q \
  | 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: b4af08c253d3fa64859e9b4c99bfe5f4375b41bdf9d512c4081601d30bc7399d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2dda4055cc473d5eaf2be7306e6cdfd5fd531eb4f4cc815bfc3bb0188faeb4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2006-03-30T07:33:21Z",
    "title_canon_sha256": "eac5c70e580263d4677f943bf93404ab491b92302fd917fd89239330d8210b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603698",
    "kind": "arxiv",
    "version": 3
  }
}