Pith Number

pith:64VBPGAW

pith:2012:64VBPGAWFCFU652CQJZYX2Q4SZ

not attested not anchored not stored refs pending

The asymptotic geometry of the Teichm\"uller metric

Cormac Walsh

arxiv:1210.5565 v1 · 2012-10-20 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64VBPGAWFCFU652CQJZYX2Q4SZ}

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	2026-05-18T03:42:43.630209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72a179816288b4f774282738bea1c964d1b4ea1a033ad90cb6768731425a97e

Aliases

arxiv: 1210.5565 · arxiv_version: 1210.5565v1 · doi: 10.48550/arxiv.1210.5565 · pith_short_12: 64VBPGAWFCFU · pith_short_16: 64VBPGAWFCFU652C · pith_short_8: 64VBPGAW

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/64VBPGAWFCFU652CQJZYX2Q4SZ \
  | 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: f72a179816288b4f774282738bea1c964d1b4ea1a033ad90cb6768731425a97e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb914e39806c6bb57b967a5cc17720119cc2e9a1469c0850262206ffacfd521",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-20T00:07:05Z",
    "title_canon_sha256": "bc1013899f900cc36306eda7f35a09451e01d9ca9c55d43a1a388d07fb7ba230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5565",
    "kind": "arxiv",
    "version": 1
  }
}