Pith Number

pith:DURB4O57

pith:2006:DURB4O57ZCYWFUWMJH2PFDUVAF

not attested not anchored not stored refs pending

Enriched Reedy categories

Vigleik Angeltveit

arxiv:math/0612137 v2 · 2006-12-06 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DURB4O57ZCYWFUWMJH2PFDUVAF}

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	2026-05-18T02:29:23.914487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d221e3bbfc8b162d2cc49f4f28e9501450a9879dbb26486e865b0a669aeaa7f

Aliases

arxiv: math/0612137 · arxiv_version: math/0612137v2 · doi: 10.48550/arxiv.math/0612137 · pith_short_12: DURB4O57ZCYW · pith_short_16: DURB4O57ZCYWFUWM · pith_short_8: DURB4O57

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/DURB4O57ZCYWFUWMJH2PFDUVAF \
  | 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: 1d221e3bbfc8b162d2cc49f4f28e9501450a9879dbb26486e865b0a669aeaa7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ff7db5e7a788f76c05585a7ac495e4ff79d7f0af48ba2c98952a557dbbd444",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2006-12-06T20:09:03Z",
    "title_canon_sha256": "3f1cf8f633cddc02045888bf3f71b684b853be4ef6b1cf827a3c498cc6866897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612137",
    "kind": "arxiv",
    "version": 2
  }
}