Pith Number

pith:DP3I4BGR

pith:2011:DP3I4BGRG2KULXRADFTZ4C2RHI

not attested not anchored not stored refs pending

Asymptotics of first-passage percolation on 1-dimensional graphs

Daniel Ahlberg

arxiv:1107.2276 v2 · 2011-07-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DP3I4BGRG2KULXRADFTZ4C2RHI}

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	2026-05-18T02:17:52.632641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf68e04d1369545de2019679e0b513a120cc69b891b014fbac7e005c1e32d0f

Aliases

arxiv: 1107.2276 · arxiv_version: 1107.2276v2 · doi: 10.48550/arxiv.1107.2276 · pith_short_12: DP3I4BGRG2KU · pith_short_16: DP3I4BGRG2KULXRA · pith_short_8: DP3I4BGR

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/DP3I4BGRG2KULXRADFTZ4C2RHI \
  | 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: 1bf68e04d1369545de2019679e0b513a120cc69b891b014fbac7e005c1e32d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b142d51ac316188bb57788a1bb3a28531d0230899a926a1ec0d8aca8fb96179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-12T13:14:07Z",
    "title_canon_sha256": "c4e302ee2047e3fa3787e65d2a4e7da7d83c79350bc96406d69a210882d04280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2276",
    "kind": "arxiv",
    "version": 2
  }
}