Pith Number

pith:LI6D7GCT

pith:1999:LI6D7GCT2ZJCEU7NNTM22FPDJ3

not attested not anchored not stored refs pending

Cohomology of a Hamiltonian T-space with involution

Maxim Braverman, Semyon Alesker

arxiv:math/9904148 v3 · 1999-04-26 · math.SG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LI6D7GCT2ZJCEU7NNTM22FPDJ3}

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	2026-05-18T03:02:57.731049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3c3f9853d6522253ed6cd9ad15e34ee89e06a8666300a58c5712e871f963be

Aliases

arxiv: math/9904148 · arxiv_version: math/9904148v3 · doi: 10.48550/arxiv.math/9904148 · pith_short_12: LI6D7GCT2ZJC · pith_short_16: LI6D7GCT2ZJCEU7N · pith_short_8: LI6D7GCT

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/LI6D7GCT2ZJCEU7NNTM22FPDJ3 \
  | 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: 5a3c3f9853d6522253ed6cd9ad15e34ee89e06a8666300a58c5712e871f963be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50ee1923f0ba2cb3f2dd3724c48fb2862ddf14a936810f00c77478b229a2898",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "1999-04-26T18:49:49Z",
    "title_canon_sha256": "9ac675de46878fb0c2444e6f33dcdd9de96556617d1eb06193f3bbd791a6a9b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904148",
    "kind": "arxiv",
    "version": 3
  }
}