Pith Number

pith:VSUUZ5J6

pith:2008:VSUUZ5J6VWO5Q6MEM2IBNOBUR6

not attested not anchored not stored refs pending

A criterion of convergence in the augmented Teichmueller space

Gabriele Mondello

arxiv:0802.2011 v1 · 2008-02-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSUUZ5J6VWO5Q6MEM2IBNOBUR6}

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	2026-05-18T01:21:41.019983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca94cf53ead9dd87984669016b8348fa36227403fab04ab8081652c646384fd

Aliases

arxiv: 0802.2011 · arxiv_version: 0802.2011v1 · doi: 10.48550/arxiv.0802.2011 · pith_short_12: VSUUZ5J6VWO5 · pith_short_16: VSUUZ5J6VWO5Q6ME · pith_short_8: VSUUZ5J6

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/VSUUZ5J6VWO5Q6MEM2IBNOBUR6 \
  | 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: aca94cf53ead9dd87984669016b8348fa36227403fab04ab8081652c646384fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5aa9d08c5b37487ce31b7966c216243a37c8cbf3106451012c61852d326aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-02-14T12:17:32Z",
    "title_canon_sha256": "808342b22994e6e32438313fee9da2ef3a68a14c621f0b810286301dacd09328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2011",
    "kind": "arxiv",
    "version": 1
  }
}