Pith Number

pith:OIBQO5I7

pith:2017:OIBQO5I7KYABJVRPTQYSCX4LT7

not attested not anchored not stored refs pending

On dihedral flows in embedded graphs

Bart Litjens

arxiv:1709.06469 v2 · 2017-09-19 · 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{OIBQO5I7KYABJVRPTQYSCX4LT7}

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	2026-05-17T23:59:25.124914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720307751f560014d62f9c31215f8b9fc0739b4fa44853112cc0036cc896a2ab

Aliases

arxiv: 1709.06469 · arxiv_version: 1709.06469v2 · doi: 10.48550/arxiv.1709.06469 · pith_short_12: OIBQO5I7KYAB · pith_short_16: OIBQO5I7KYABJVRP · pith_short_8: OIBQO5I7

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/OIBQO5I7KYABJVRPTQYSCX4LT7 \
  | 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: 720307751f560014d62f9c31215f8b9fc0739b4fa44853112cc0036cc896a2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d19e17f28eaf43c3feba984b1bbdf553a0f8fdf45b250ed9fe52bf87164429",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-19T14:52:44Z",
    "title_canon_sha256": "c52cf04a01e59fa05a29eab272f8b1175ac87787d549ee1f0bb109a7c60517f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06469",
    "kind": "arxiv",
    "version": 2
  }
}