Pith Number

pith:IZ3Y2DWM

pith:2008:IZ3Y2DWMI2C6OEEKOORVHE7CZB

not attested not anchored not stored refs pending

Metric properties of Outer Space

Armando Martino, Stefano Francaviglia

arxiv:0803.0640 v2 · 2008-03-05 · math.GR · 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{IZ3Y2DWMI2C6OEEKOORVHE7CZB}

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	2026-05-18T04:17:13.883567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46778d0ecc4685e7108a73a35393e2c879705fe61425a65a5925a41b57d7fe22

Aliases

arxiv: 0803.0640 · arxiv_version: 0803.0640v2 · doi: 10.48550/arxiv.0803.0640 · pith_short_12: IZ3Y2DWMI2C6 · pith_short_16: IZ3Y2DWMI2C6OEEK · pith_short_8: IZ3Y2DWM

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/IZ3Y2DWMI2C6OEEKOORVHE7CZB \
  | 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: 46778d0ecc4685e7108a73a35393e2c879705fe61425a65a5925a41b57d7fe22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90a930f3b087b73deb2c41b3527d65628c0313de9734008f4ec9240fe7bd4f3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-03-05T12:02:38Z",
    "title_canon_sha256": "8b7e178b6722da176c5f2e0d50d4410c716e5c04eb7243d3cc5eec04b6d45f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0640",
    "kind": "arxiv",
    "version": 2
  }
}