Pith Number

pith:ESGSRMVY

pith:2012:ESGSRMVYZZFBRNIJMITAW3G3UW

not attested not anchored not stored refs pending

Symplectic homology of disc cotangent bundles of domains in Euclidean space

Kei Irie

arxiv:1211.2184 v3 · 2012-11-09 · 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{ESGSRMVYZZFBRNIJMITAW3G3UW}

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	2026-05-18T03:20:48.431254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248d28b2b8ce4a18b50962260b6cdba5974b6c4b4722f17d8c73bc1e3bf4038f

Aliases

arxiv: 1211.2184 · arxiv_version: 1211.2184v3 · doi: 10.48550/arxiv.1211.2184 · pith_short_12: ESGSRMVYZZFB · pith_short_16: ESGSRMVYZZFBRNIJ · pith_short_8: ESGSRMVY

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/ESGSRMVYZZFBRNIJMITAW3G3UW \
  | 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: 248d28b2b8ce4a18b50962260b6cdba5974b6c4b4722f17d8c73bc1e3bf4038f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d68fd9d05902f03ed070726946d2ece2d63900afaba0e8471bdbfa9630a85a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-11-09T16:50:50Z",
    "title_canon_sha256": "89ae94805d6b4f8b3f04de6e1f9df167d872d806a0cc6712693e57af82c12e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2184",
    "kind": "arxiv",
    "version": 3
  }
}