Pith Number

pith:XIFR753E

pith:2018:XIFR753EQFJJPONKET6PRZK6VU

not attested not anchored not stored refs pending

Mayer-Vietoris sequences and equivariant K-theory rings of toric varieties

Gareth Williams, Tara S. Holm

arxiv:1802.00078 v3 · 2018-01-31 · math.KT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIFR753EQFJJPONKET6PRZK6VU}

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	2026-05-18T00:09:09.627990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba0b1ff764815297b9aa24fcf8e55ead2bb677745676b61dda0fd4914670da10

Aliases

arxiv: 1802.00078 · arxiv_version: 1802.00078v3 · doi: 10.48550/arxiv.1802.00078 · pith_short_12: XIFR753EQFJJ · pith_short_16: XIFR753EQFJJPONK · pith_short_8: XIFR753E

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/XIFR753EQFJJPONKET6PRZK6VU \
  | 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: ba0b1ff764815297b9aa24fcf8e55ead2bb677745676b61dda0fd4914670da10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd1bd97844cbaf5cdf3e0b1f6728193b5044488f82f9a8b410b2955eb684e246",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-01-31T21:44:50Z",
    "title_canon_sha256": "667b82b1f423d37aadf8906b56c0de4f77f4b3dd3ff3ee04ce11daf6ca35a897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00078",
    "kind": "arxiv",
    "version": 3
  }
}