Pith Number

pith:O6FR472M

pith:2009:O6FR472ML57MQVVAEQFA7OSJWX

not attested not anchored not stored refs pending

The curious moduli spaces of unmarked Kleinian surface groups

Peter Storm, Richard Canary

arxiv:0906.5601 v2 · 2009-06-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6FR472ML57MQVVAEQFA7OSJWX}

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	2026-05-18T04:42:44.698865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778b1e7f4c5f7ec856a0240a0fba49b5d016b63dceec64f439e5cddedcca23d7

Aliases

arxiv: 0906.5601 · arxiv_version: 0906.5601v2 · doi: 10.48550/arxiv.0906.5601 · pith_short_12: O6FR472ML57M · pith_short_16: O6FR472ML57MQVVA · pith_short_8: O6FR472M

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/O6FR472ML57MQVVAEQFA7OSJWX \
  | 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: 778b1e7f4c5f7ec856a0240a0fba49b5d016b63dceec64f439e5cddedcca23d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23f1bb0f50a7bbe8cdb07b58abd4c2f838ac97f8288ea300031d65c295dced3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-30T18:28:48Z",
    "title_canon_sha256": "672b02605b28cb3561f68c8ebaa66096941cbe9693793bd1cd97752271210de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5601",
    "kind": "arxiv",
    "version": 2
  }
}