Pith Number

pith:GJAFZFXD

pith:2010:GJAFZFXDNJKAHG3JQTZSO2T5Z4

not attested not anchored not stored refs pending

On the number of Mather measures of Lagrangian systems

Patrick Bernard (CEREMADE)

arxiv:1001.3082 v2 · 2010-01-18 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJAFZFXDNJKAHG3JQTZSO2T5Z4}

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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.

Cited by

1 paper in Pith

Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants

Receipt and verification

First computed	2026-05-18T02:09:42.923713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32405c96e36a54039b6984f3276a7dcf02ffd0a4d0be60eda0f42fb43ce97fe3

Aliases

arxiv: 1001.3082 · arxiv_version: 1001.3082v2 · doi: 10.48550/arxiv.1001.3082 · pith_short_12: GJAFZFXDNJKA · pith_short_16: GJAFZFXDNJKAHG3J · pith_short_8: GJAFZFXD

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/GJAFZFXDNJKAHG3JQTZSO2T5Z4 \
  | 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: 32405c96e36a54039b6984f3276a7dcf02ffd0a4d0be60eda0f42fb43ce97fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7e646747a90373ef2b7bc39fbf0a528ed6cdfe2cd17f6d25d68ac1ba437a81",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-18T14:53:17Z",
    "title_canon_sha256": "ffa1ea80b592a7351fa44c1f874bdaadbc6a10545fe75a275306e7e055ee7186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3082",
    "kind": "arxiv",
    "version": 2
  }
}