Pith Number

pith:W6YEWH4T

pith:2011:W6YEWH4TAWOTPUJW4DBDMODOMQ

not attested not anchored not stored refs pending

Planar flows and quadratic relations over semirings

Alexander V. Karzanov, Gleb A. Koshevoy, Vladimir I. Danilov

arxiv:1102.2578 v2 · 2011-02-13 · 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{W6YEWH4TAWOTPUJW4DBDMODOMQ}

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	2026-05-18T04:03:43.461389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b04b1f93059d37d136e0c236386e6412005d11137e74184648b30a2f214026

Aliases

arxiv: 1102.2578 · arxiv_version: 1102.2578v2 · doi: 10.48550/arxiv.1102.2578 · pith_short_12: W6YEWH4TAWOT · pith_short_16: W6YEWH4TAWOTPUJW · pith_short_8: W6YEWH4T

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/W6YEWH4TAWOTPUJW4DBDMODOMQ \
  | 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: b7b04b1f93059d37d136e0c236386e6412005d11137e74184648b30a2f214026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c71e3a0a29ea6e9c1e0baf546dde3aa2c362ac78f50b4dadb4f6f63de4253e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-13T10:46:46Z",
    "title_canon_sha256": "40513a619a21a3d54f330e78273eed9d7e19d7ac81de58c3f7df20a395c692ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2578",
    "kind": "arxiv",
    "version": 2
  }
}