Pith Number

pith:KMMZVUTF

pith:2019:KMMZVUTFK4UBCPMZVRATWO3CEW

not attested not anchored not stored refs pending

Increasing paths in countable graphs

Andrii Arman, Bradley Elliott, Vojt\v{e}ch R\"odl

arxiv:1905.03612 v1 · 2019-05-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMMZVUTFK4UBCPMZVRATWO3CEW}

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	2026-05-17T23:46:37.197038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53199ad2655728113d99ac413b3b6225903f0ee866e465343bc60e5e9d1d07c5

Aliases

arxiv: 1905.03612 · arxiv_version: 1905.03612v1 · doi: 10.48550/arxiv.1905.03612 · pith_short_12: KMMZVUTFK4UB · pith_short_16: KMMZVUTFK4UBCPMZ · pith_short_8: KMMZVUTF

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/KMMZVUTFK4UBCPMZVRATWO3CEW \
  | 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: 53199ad2655728113d99ac413b3b6225903f0ee866e465343bc60e5e9d1d07c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494ab7b3bb051e07286316b3f9242df709f96f4112edef32c9a12712b5a47a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-09T13:31:36Z",
    "title_canon_sha256": "f119b492c5d6a245a152ca64e66bef203044465c081293e735c1b17c0bcf27ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03612",
    "kind": "arxiv",
    "version": 1
  }
}