Pith Number

pith:3RKUNRWZ

pith:2016:3RKUNRWZSGQFPUZA5DTHW63M5J

not attested not anchored not stored refs pending

Warped cones and Haagerup property

Guoqiang Li, Xianjin Wang

arxiv:1612.03686 v2 · 2016-12-12 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RKUNRWZSGQFPUZA5DTHW63M5J}

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	2026-05-18T00:48:05.183715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5546c6d991a057d320e8e67b7b6cea7e3058ffae8da86d8b6b8766674f2e9a

Aliases

arxiv: 1612.03686 · arxiv_version: 1612.03686v2 · doi: 10.48550/arxiv.1612.03686 · pith_short_12: 3RKUNRWZSGQF · pith_short_16: 3RKUNRWZSGQFPUZA · pith_short_8: 3RKUNRWZ

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/3RKUNRWZSGQFPUZA5DTHW63M5J \
  | 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: dc5546c6d991a057d320e8e67b7b6cea7e3058ffae8da86d8b6b8766674f2e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e626cf46adb3ab6a97a5a6115caf7feff566ca20147464521f0e6046b0e308",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-12T14:03:14Z",
    "title_canon_sha256": "58d7d473784c47564c3c980bf830c5bfba2b3d4b424132faa40783bed9654408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03686",
    "kind": "arxiv",
    "version": 2
  }
}