Pith Number

pith:IZLE4Z4J

pith:2015:IZLE4Z4J2YLE54QATUVPWRKYZB

not attested not anchored not stored refs pending

A Note On Immersion Intertwines Of Infinite Graphs

Bogdan Oporowski, Matthew Barnes

arxiv:1508.05378 v1 · 2015-08-21 · 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{IZLE4Z4J2YLE54QATUVPWRKYZB}

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	2026-05-18T01:34:55.935243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46564e6789d6164ef2009d2afb4558c87e882a3a0ba1e176098c9e5ba9b71ce3

Aliases

arxiv: 1508.05378 · arxiv_version: 1508.05378v1 · doi: 10.48550/arxiv.1508.05378 · pith_short_12: IZLE4Z4J2YLE · pith_short_16: IZLE4Z4J2YLE54QA · pith_short_8: IZLE4Z4J

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/IZLE4Z4J2YLE54QATUVPWRKYZB \
  | 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: 46564e6789d6164ef2009d2afb4558c87e882a3a0ba1e176098c9e5ba9b71ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9c9edb57159d829ba82750de4455d84204f602bc955c4e81569f66eb5cfd18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-21T19:48:50Z",
    "title_canon_sha256": "c941277642db17361249ba58a009c240aec7cadf57de1326a2d5f587552f3c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05378",
    "kind": "arxiv",
    "version": 1
  }
}