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Pith Number

pith:5IGQPB6S

pith:2014:5IGQPB6S6VZDRXXVJ5UYPNEO2K
not attested not anchored not stored refs pending

Convergence of the solutions of the discounted equation

Albert Fathi, Andrea Davini, Maxime Zavidovique, Renato Iturriaga

arxiv:1408.6712 v1 · 2014-08-28 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5IGQPB6S6VZDRXXVJ5UYPNEO2K}

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 2026-05-18T01:21:05.395909Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea0d0787d2f57238def54f6987b48ed29f6a843514f31e663f05bc9422569356

Aliases

arxiv: 1408.6712 · arxiv_version: 1408.6712v1 · doi: 10.48550/arxiv.1408.6712 · pith_short_12: 5IGQPB6S6VZD · pith_short_16: 5IGQPB6S6VZDRXXV · pith_short_8: 5IGQPB6S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5IGQPB6S6VZDRXXVJ5UYPNEO2K \
  | 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: ea0d0787d2f57238def54f6987b48ed29f6a843514f31e663f05bc9422569356
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e98efab952d1d1e79e14aac1d8553431e3bba037f4108a3c086b168397b76663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-28T13:38:34Z",
    "title_canon_sha256": "e434164223386768b71d801475894c91f4fbca0247b15d8068b7c6150453d1ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6712",
    "kind": "arxiv",
    "version": 1
  }
}