Pith Number

pith:U74KXL6B

pith:2018:U74KXL6B3AADMBNJ75TIUGDIMH

not attested not anchored not stored refs pending

Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation

Jack Hanson

arxiv:1804.05720 v1 · 2018-04-16 · 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{U74KXL6B3AADMBNJ75TIUGDIMH}

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	2026-05-18T00:18:27.541899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f8abafc1d8003605a9ff668a186861cd989ee71f5a403aac4090ef543ab185

Aliases

arxiv: 1804.05720 · arxiv_version: 1804.05720v1 · doi: 10.48550/arxiv.1804.05720 · pith_short_12: U74KXL6B3AAD · pith_short_16: U74KXL6B3AADMBNJ · pith_short_8: U74KXL6B

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/U74KXL6B3AADMBNJ75TIUGDIMH \
  | 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: a7f8abafc1d8003605a9ff668a186861cd989ee71f5a403aac4090ef543ab185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3023f00691c010b5d6f4b134ad4944199c18ff507574b0235cd6b50cf903408f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-16T14:59:33Z",
    "title_canon_sha256": "f2c4b7cf0ab0b2b7d9a545c06ecd42a266a4fe323a4b3e9b56674471be3395e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05720",
    "kind": "arxiv",
    "version": 1
  }
}