Pith Number

pith:X2FNF32H

pith:2004:X2FNF32HEXJYHXQWQCHEN2CMR5

not attested not anchored not stored refs pending

Foldable cubical complexes of nonpositive curvature

Xiangdong Xie

arxiv:math/0409067 v1 · 2004-09-05 · math.MG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2FNF32HEXJYHXQWQCHEN2CMR5}

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	2026-05-18T02:41:32.341303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be8ad2ef4725d383de16808e46e84c8f4694eb4f7e0eaa139c3bfa874238aa7e

Aliases

arxiv: math/0409067 · arxiv_version: math/0409067v1 · doi: 10.48550/arxiv.math/0409067 · pith_short_12: X2FNF32HEXJY · pith_short_16: X2FNF32HEXJYHXQW · pith_short_8: X2FNF32H

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/X2FNF32HEXJYHXQWQCHEN2CMR5 \
  | 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: be8ad2ef4725d383de16808e46e84c8f4694eb4f7e0eaa139c3bfa874238aa7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54c7cbfef642fa90526be981dd02903c44c94597b2764a9449a0c1484b3f951",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2004-09-05T09:53:24Z",
    "title_canon_sha256": "14a11d3f2b4c86850b136d964dde2d32ce9c4b6d0f9e453a8ff66283a2034228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409067",
    "kind": "arxiv",
    "version": 1
  }
}