Pith Number

pith:I55CW4O6

pith:2015:I55CW4O6SMHCAMN7CFWIK2UNC3

not attested not anchored not stored refs pending

Warped cones over profinite completions

Damian Sawicki

arxiv:1509.04669 v2 · 2015-09-15 · 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{I55CW4O6SMHCAMN7CFWIK2UNC3}

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	2026-05-18T00:06:48.705087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477a2b71de930e2031bf116c856a8d16d263c51db0effec868bdd7c3e6f85665

Aliases

arxiv: 1509.04669 · arxiv_version: 1509.04669v2 · doi: 10.48550/arxiv.1509.04669 · pith_short_12: I55CW4O6SMHC · pith_short_16: I55CW4O6SMHCAMN7 · pith_short_8: I55CW4O6

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/I55CW4O6SMHCAMN7CFWIK2UNC3 \
  | 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: 477a2b71de930e2031bf116c856a8d16d263c51db0effec868bdd7c3e6f85665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f84556b162cf2bb7dee91bcc6b90a8c9b03d5c04799553600384e7a1d60270",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-15T18:27:55Z",
    "title_canon_sha256": "6366e6b565e45443f10bafb97f02ec1f61023b98bdeded29fdcba1a0e7dce5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04669",
    "kind": "arxiv",
    "version": 2
  }
}