Pith Number

pith:QRRYLF7R

pith:2015:QRRYLF7RREEUU7PKICZCIP3BFX

not attested not anchored not stored refs pending

Weak KAM theorem on non compact manifolds

Albert Fathi, Ezequiel Maderna

arxiv:1502.06247 v1 · 2015-02-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRRYLF7RREEUU7PKICZCIP3BFX}

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	2026-05-18T02:26:37.671235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84638597f189094a7dea40b2243f612ddccbee475673f796f55dc73b1f9261bd

Aliases

arxiv: 1502.06247 · arxiv_version: 1502.06247v1 · doi: 10.48550/arxiv.1502.06247 · pith_short_12: QRRYLF7RREEU · pith_short_16: QRRYLF7RREEUU7PK · pith_short_8: QRRYLF7R

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/QRRYLF7RREEUU7PKICZCIP3BFX \
  | 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: 84638597f189094a7dea40b2243f612ddccbee475673f796f55dc73b1f9261bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d10df300ec1bc72478861d4106ae18984696ceeec83f8ced0b005c645996c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-22T16:59:08Z",
    "title_canon_sha256": "d6398ffb3f91eb4dca5d13fff1e924aeea6e4b1dfd9175cd1091feb6bd28ed6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06247",
    "kind": "arxiv",
    "version": 1
  }
}