Pith Number

pith:5ZYZ2RQT

pith:2001:5ZYZ2RQT54GCLSRN5WVIGMAOEW

not attested not anchored not stored refs pending

The cosupport axiom, equivariant cohomology and the intersection cohomology of certain symplectic quotients

Jonathan Woolf, Young-Hoon Kiem

arxiv:math/0101255 v1 · 2001-01-31 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZYZ2RQT54GCLSRN5WVIGMAOEW}

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	2026-07-04T14:35:03.462936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee719d4613ef0c25ca2dedaa83300e25b56775e5b291c2cd61c50f843bfb7f2a

Aliases

arxiv: math/0101255 · arxiv_version: math/0101255v1 · doi: 10.48550/arxiv.math/0101255 · pith_short_12: 5ZYZ2RQT54GC · pith_short_16: 5ZYZ2RQT54GCLSRN · pith_short_8: 5ZYZ2RQT

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/5ZYZ2RQT54GCLSRN5WVIGMAOEW \
  | 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: ee719d4613ef0c25ca2dedaa83300e25b56775e5b291c2cd61c50f843bfb7f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d63704cdf02fbe27a1a3edc48864f7ac51f62ff4384aaea3d15062d1c5d412e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-01-31T00:05:04Z",
    "title_canon_sha256": "e574b94b76f625d07204f7b7b42003f49166c06579a879bf07d2194f62193c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101255",
    "kind": "arxiv",
    "version": 1
  }
}