Pith Number

pith:DFZJYRT5

pith:2012:DFZJYRT5QB3DX22ABEODPBUQIC

not attested not anchored not stored refs pending

Equivariant $K$-theory of GKM bundles

Catalin Zara, Silvia Sabatini, Victor Guillemin

arxiv:1203.1027 v1 · 2012-03-05 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFZJYRT5QB3DX22ABEODPBUQIC}

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	2026-05-18T03:32:08.026899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19729c467d80763beb40091c37869040bf7e3f2c7be25ced2bb5d55bd74a4310

Aliases

arxiv: 1203.1027 · arxiv_version: 1203.1027v1 · doi: 10.48550/arxiv.1203.1027 · pith_short_12: DFZJYRT5QB3D · pith_short_16: DFZJYRT5QB3DX22A · pith_short_8: DFZJYRT5

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/DFZJYRT5QB3DX22ABEODPBUQIC \
  | 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: 19729c467d80763beb40091c37869040bf7e3f2c7be25ced2bb5d55bd74a4310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76aac6417eec04075ba1cf7700a224a2723f73fca2dc6a78171ebf7e40863cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-03-05T19:54:28Z",
    "title_canon_sha256": "16348d29d7a1f185b2305ebed2a2866db8c11a8934eb26b6568278afa0ebbaea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1027",
    "kind": "arxiv",
    "version": 1
  }
}