Pith Number

pith:VEFW4K2V

pith:2017:VEFW4K2VEYTTWO2K23DRDQBXZB

not attested not anchored not stored refs pending

Expansion and contraction functors on matriods

Rahim Rahmati-Asghar

arxiv:1705.09539 v1 · 2017-05-26 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEFW4K2VEYTTWO2K23DRDQBXZB}

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	2026-05-18T00:43:38.425342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90b6e2b5526273b3b4ad6c711c037c852db506f207e80cd9f5f490f70a37c40

Aliases

arxiv: 1705.09539 · arxiv_version: 1705.09539v1 · doi: 10.48550/arxiv.1705.09539 · pith_short_12: VEFW4K2VEYTT · pith_short_16: VEFW4K2VEYTTWO2K · pith_short_8: VEFW4K2V

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/VEFW4K2VEYTTWO2K23DRDQBXZB \
  | 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: a90b6e2b5526273b3b4ad6c711c037c852db506f207e80cd9f5f490f70a37c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbfd6e2bf8532672636aeba8240c295eeb34c1d5d62f86729eb52e7346c4fd4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-26T11:41:49Z",
    "title_canon_sha256": "75761fafe00478986906195f92a387203d9966ed3121038d9c26f4cc54df1994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09539",
    "kind": "arxiv",
    "version": 1
  }
}