Pith Number

pith:A7WFW7HI

pith:2013:A7WFW7HIJE7YWC5QM2DSAZKP2M

not attested not anchored not stored refs pending

Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs

Piotr Przytycki, Richard C. H. Webb, Sebastian Hensel

arxiv:1301.5577 v1 · 2013-01-23 · 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{A7WFW7HIJE7YWC5QM2DSAZKP2M}

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	2026-05-18T03:35:39.368180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ec5b7ce8493f8b0bb0668720654fd33ef5057b0d9f99da290a5a99739f6764

Aliases

arxiv: 1301.5577 · arxiv_version: 1301.5577v1 · doi: 10.48550/arxiv.1301.5577 · pith_short_12: A7WFW7HIJE7Y · pith_short_16: A7WFW7HIJE7YWC5Q · pith_short_8: A7WFW7HI

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/A7WFW7HIJE7YWC5QM2DSAZKP2M \
  | 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: 07ec5b7ce8493f8b0bb0668720654fd33ef5057b0d9f99da290a5a99739f6764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c05c933eeaee1f1618d9705502532bc0f38b0ad5eef7270be2b3cc468b207a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-23T17:21:51Z",
    "title_canon_sha256": "629a887e80d180b9156c6e8fe1f544389c8d6581a7f5906606360d4d2181ab14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5577",
    "kind": "arxiv",
    "version": 1
  }
}