Pith Number

pith:SX6KNMAY

pith:2016:SX6KNMAYZC2CPQHJSWKEVHWR6R

not attested not anchored not stored refs pending

Unified Hanani-Tutte theorem

D\"om\"ot\"or P\'alv\"olgyi, Jan Kyn\v{c}l, Radoslav Fulek

arxiv:1612.00688 v3 · 2016-12-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX6KNMAYZC2CPQHJSWKEVHWR6R}

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	2026-05-18T00:39:12.892132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fca6b018c8b427c0e995944a9ed1f467d4d537554335be18a114bd3e1dec81

Aliases

arxiv: 1612.00688 · arxiv_version: 1612.00688v3 · doi: 10.48550/arxiv.1612.00688 · pith_short_12: SX6KNMAYZC2C · pith_short_16: SX6KNMAYZC2CPQHJ · pith_short_8: SX6KNMAY

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/SX6KNMAYZC2CPQHJSWKEVHWR6R \
  | 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: 95fca6b018c8b427c0e995944a9ed1f467d4d537554335be18a114bd3e1dec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210fc20d974492a56dbbfa7f93af831d92a4b6fd0eab33360a79393dd92c4387",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-02T14:24:05Z",
    "title_canon_sha256": "257baa71666d02f805a1f815da3362e392641a222e7e08e1a342b4a3fa9ab85f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00688",
    "kind": "arxiv",
    "version": 3
  }
}