Pith Number

pith:3TQZKOJ7

pith:2001:3TQZKOJ7C3G47QFR5PIOLJWRYY

not attested not anchored not stored refs pending

A Stochastic Analog of Aubry-Mather Theory

Diogo Aguiar Gomes

arxiv:math/0104230 v1 · 2001-04-24 · math.AP · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TQZKOJ7C3G47QFR5PIOLJWRYY}

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	2026-07-04T14:35:18.527053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce195393f16cdcfc0b1ebd0e5a6d1c62ba7887add65c97644a725704d60f4a5

Aliases

arxiv: math/0104230 · arxiv_version: math/0104230v1 · doi: 10.48550/arxiv.math/0104230 · pith_short_12: 3TQZKOJ7C3G4 · pith_short_16: 3TQZKOJ7C3G47QFR · pith_short_8: 3TQZKOJ7

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/3TQZKOJ7C3G47QFR5PIOLJWRYY \
  | 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: dce195393f16cdcfc0b1ebd0e5a6d1c62ba7887add65c97644a725704d60f4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc3f624d59a769235717e808ab4a3192cf812c7f5ac644abf6586d195244933",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2001-04-24T22:05:36Z",
    "title_canon_sha256": "bfeaf6ea75513ab3a109c647be8fa68fd98f163536eda96ac8241fcb2368f85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104230",
    "kind": "arxiv",
    "version": 1
  }
}