Pith Number

pith:MTWYI7XO

pith:2020:MTWYI7XOYPTKLGAY3ODR23WKWO

not attested not anchored not stored refs pending

Path Optimization Sheaves

Alan Hylton, Jacob Cleveland, Michael Moy, Robert Cardona, Robert Green, Robert Short

arxiv:2012.05974 v1 · 2020-12-10 · cs.NI · cs.DS · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTWYI7XOYPTKLGAY3ODR23WKWO}

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	2026-07-05T01:58:45.619764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ed847eeec3e6a59818db871d6ecab3a05820083462e5ae048ae44fce5838e2

Aliases

arxiv: 2012.05974 · arxiv_version: 2012.05974v1 · doi: 10.48550/arxiv.2012.05974 · pith_short_12: MTWYI7XOYPTK · pith_short_16: MTWYI7XOYPTKLGAY · pith_short_8: MTWYI7XO

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/MTWYI7XOYPTKLGAY3ODR23WKWO \
  | 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: 64ed847eeec3e6a59818db871d6ecab3a05820083462e5ae048ae44fce5838e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc657a62e8129e775820f95d0068f8102ad538ebdea01743abfdab01c3e2ca6b",
    "cross_cats_sorted": [
      "cs.DS",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2020-12-10T20:59:27Z",
    "title_canon_sha256": "3947731c2e13da7c27624a59f6c8f2a9d585455914d7b49e9e314b8a01eccdb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05974",
    "kind": "arxiv",
    "version": 1
  }
}