Pith Number

pith:P6VQXOH4

pith:2020:P6VQXOH4FE7XLSN6OB7YEUCM5T

not attested not anchored not stored refs pending

Ends of digraphs I: basic theory

Carl B\"urger, Ruben Melcher

arxiv:2009.03295 v1 · 2020-09-07 · 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{P6VQXOH4FE7XLSN6OB7YEUCM5T}

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.

Cited by

1 paper in Pith

Halin's grid theorem for digraphs

Receipt and verification

First computed	2026-07-05T01:33:31.804348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fab0bb8fc293f75c9be707f82504cecc3588f5ee27e28a3776b07fff1fd2d7b

Aliases

arxiv: 2009.03295 · arxiv_version: 2009.03295v1 · doi: 10.48550/arxiv.2009.03295 · pith_short_12: P6VQXOH4FE7X · pith_short_16: P6VQXOH4FE7XLSN6 · pith_short_8: P6VQXOH4

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/P6VQXOH4FE7XLSN6OB7YEUCM5T \
  | 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: 7fab0bb8fc293f75c9be707f82504cecc3588f5ee27e28a3776b07fff1fd2d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36e25e20f580cbe20ad7faaad1343cfac35cc7e12f3ad9ce6b32962c7a8f511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-07T17:55:27Z",
    "title_canon_sha256": "04b39e21b0c8b1656c9efd3e2aaf70349f43e0e192eb60212621e7102b685007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03295",
    "kind": "arxiv",
    "version": 1
  }
}