Pith Number

pith:25QFT5ME

pith:2012:25QFT5ME7AVMIZV3B2QMZU3LGL

not attested not anchored not stored refs pending

Last passage percolation and traveling fronts

Alejandro F. Ramirez (PUC), Francis Comets (LPMA), Jeremy Quastel

arxiv:1203.2368 v3 · 2012-03-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25QFT5ME7AVMIZV3B2QMZU3LGL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:58:10.152990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76059f584f82ac466bb0ea0ccd36b32f8f4bd29b25743a30780b94cf5ffaf9e

Aliases

arxiv: 1203.2368 · arxiv_version: 1203.2368v3 · doi: 10.48550/arxiv.1203.2368 · pith_short_12: 25QFT5ME7AVM · pith_short_16: 25QFT5ME7AVMIZV3 · pith_short_8: 25QFT5ME

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/25QFT5ME7AVMIZV3B2QMZU3LGL \
  | 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: d76059f584f82ac466bb0ea0ccd36b32f8f4bd29b25743a30780b94cf5ffaf9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec2671da97ccd1404108761bc629119479ab96799fdfb36e25c5a816cb4783c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-11T19:38:08Z",
    "title_canon_sha256": "2f954e9f2e72476ed65fb7d2e53266c1ea2c6f52cc337b5c99003cd3c8697d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2368",
    "kind": "arxiv",
    "version": 3
  }
}