Pith Number

pith:PNIS6GBM

pith:2021:PNIS6GBMECXLOKUR2XJMZR5OY4

not attested not anchored not stored refs pending

On the Computational Complexities of Various Geography Variants

Carson Geissler, Nathan Fox

arxiv:2108.09367 v1 · 2021-08-20 · cs.CC · 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{PNIS6GBMECXLOKUR2XJMZR5OY4}

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	2026-07-05T03:07:53.744482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b512f182c20aeb72a91d5d2ccc7aec72cfbfe31db88cb98cd324f337c3057a4

Aliases

arxiv: 2108.09367 · arxiv_version: 2108.09367v1 · doi: 10.48550/arxiv.2108.09367 · pith_short_12: PNIS6GBMECXL · pith_short_16: PNIS6GBMECXLOKUR · pith_short_8: PNIS6GBM

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/PNIS6GBMECXLOKUR2XJMZR5OY4 \
  | 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: 7b512f182c20aeb72a91d5d2ccc7aec72cfbfe31db88cb98cd324f337c3057a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0949ba1d2c3a7ccc41a8538e5f170c5c146ac0d46d60f4c2957ff0f98b20707",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-08-20T20:58:08Z",
    "title_canon_sha256": "2ff759e61660f3ea6f86f29b8d2d9eff12894773a987d24c0c7f505f4fda126f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09367",
    "kind": "arxiv",
    "version": 1
  }
}