Pith Number

pith:A45TAAYD

pith:2009:A45TAAYDUKCPK6GILP2F5GJHNL

not attested not anchored not stored refs pending

Topological Invariants of Anosov Representations

Anna Wienhard, Olivier Guichard

arxiv:0907.0273 v2 · 2009-07-02 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A45TAAYDUKCPK6GILP2F5GJHNL}

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	2026-05-18T02:58:02.991897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073b300303a284f578c85bf45e99276ac8edf5adcf1e2757b2c9d3871f6ab0ca

Aliases

arxiv: 0907.0273 · arxiv_version: 0907.0273v2 · doi: 10.48550/arxiv.0907.0273 · pith_short_12: A45TAAYDUKCP · pith_short_16: A45TAAYDUKCPK6GI · pith_short_8: A45TAAYD

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/A45TAAYDUKCPK6GILP2F5GJHNL \
  | 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: 073b300303a284f578c85bf45e99276ac8edf5adcf1e2757b2c9d3871f6ab0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911aa5b5836d19c0b13d1fe7e6284112b1faed0136a3acff9e262d225c7f210b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-02T01:23:01Z",
    "title_canon_sha256": "09c7e1b5cf2328f9ac5d5ce0307ad6ff7b1e5490a4d7dfd3e0d9a8cfc34b9de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0273",
    "kind": "arxiv",
    "version": 2
  }
}