Pith Number

pith:H7SMG2E7

pith:2015:H7SMG2E7MLAFU3TK3TXK6YKA2J

not attested not anchored not stored refs pending

Convergence of discrete Aubry-Mather model in the continuous limit

Philippe Thieullen, Xifeng SU

arxiv:1510.00214 v2 · 2015-10-01 · math.DS · math-ph · math.AP · math.MP · math.NA · 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{H7SMG2E7MLAFU3TK3TXK6YKA2J}

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	2026-05-18T00:40:08.530719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe4c3689f62c05a6e6adceeaf6140d2552946b89bd3dcb80590b04178699190

Aliases

arxiv: 1510.00214 · arxiv_version: 1510.00214v2 · doi: 10.48550/arxiv.1510.00214 · pith_short_12: H7SMG2E7MLAF · pith_short_16: H7SMG2E7MLAFU3TK · pith_short_8: H7SMG2E7

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/H7SMG2E7MLAFU3TK3TXK6YKA2J \
  | 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: 3fe4c3689f62c05a6e6adceeaf6140d2552946b89bd3dcb80590b04178699190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1a44d24c32b778d7b4341c324e94042debdccbc5807b17bfe1ddd0baf75f5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-01T13:11:37Z",
    "title_canon_sha256": "c6f104a53878a8d287a36e7040643f3cbb8c2551e581471a7ddd60240d3c1398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00214",
    "kind": "arxiv",
    "version": 2
  }
}