Pith Number

pith:4FCUCA2M

pith:2017:4FCUCA2MOPTU7GQNYUXDI3URLU

not attested not anchored not stored refs pending

Oriented Matroid Structures From Realized Root Systems

Matthew Dyer, Weijia Wang

arxiv:1710.04109 v1 · 2017-10-11 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FCUCA2MOPTU7GQNYUXDI3URLU}

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	2026-05-18T00:33:04.964703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14541034c73e74f9a0dc52e346e915d1b65399ecd8617ff31ba824921a7e557

Aliases

arxiv: 1710.04109 · arxiv_version: 1710.04109v1 · doi: 10.48550/arxiv.1710.04109 · pith_short_12: 4FCUCA2MOPTU · pith_short_16: 4FCUCA2MOPTU7GQN · pith_short_8: 4FCUCA2M

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/4FCUCA2MOPTU7GQNYUXDI3URLU \
  | 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: e14541034c73e74f9a0dc52e346e915d1b65399ecd8617ff31ba824921a7e557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad05b384ffea678e71df5fc1bb6856d1967bbcbb415026c7375c7afed2ff344",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-11T15:18:55Z",
    "title_canon_sha256": "8113628cb936542a49f50128c86fcdf26b0a65a65bb75719ed88fb2637d0137a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04109",
    "kind": "arxiv",
    "version": 1
  }
}