Pith Number

pith:RCVPTMZW

pith:2009:RCVPTMZWI3BLY4X5E7PGF5VFEU

not attested not anchored not stored refs pending

Obtaining presentations from group actions without making choices

Andrew Putman

arxiv:0901.4089 v3 · 2009-01-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCVPTMZWI3BLY4X5E7PGF5VFEU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:41:51.372992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88aaf9b33646c2bc72fd27de62f6a5251b396a9451361a78f32154b3e0b98237

Aliases

arxiv: 0901.4089 · arxiv_version: 0901.4089v3 · doi: 10.48550/arxiv.0901.4089 · pith_short_12: RCVPTMZWI3BL · pith_short_16: RCVPTMZWI3BLY4X5 · pith_short_8: RCVPTMZW

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/RCVPTMZWI3BLY4X5E7PGF5VFEU \
  | 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: 88aaf9b33646c2bc72fd27de62f6a5251b396a9451361a78f32154b3e0b98237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654066d4a6a1aabd8fadd9b7e4cca7d5d0dd7c870c6e69ddf3a44ccd6a1a5fe9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-01-26T20:25:00Z",
    "title_canon_sha256": "5c9e3bd3630810df8d8e3cad338db625bb51424f0fc6a7ce64679d3321f39e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4089",
    "kind": "arxiv",
    "version": 3
  }
}