Pith Number

pith:TLV4TDYH

pith:2010:TLV4TDYHQJM6UFRI72AYS7B4YM

not attested not anchored not stored refs pending

Cohomology and Hodge Theory on Symplectic Manifolds: II

Li-Sheng Tseng, Shing-Tung Yau

arxiv:1011.1250 v2 · 2010-11-04 · math.SG · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLV4TDYHQJM6UFRI72AYS7B4YM}

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	2026-05-18T03:44:24.777385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aebc98f078259ea1628fe81897c3cc307b70431f4a0d096a761cf7e80694652

Aliases

arxiv: 1011.1250 · arxiv_version: 1011.1250v2 · doi: 10.48550/arxiv.1011.1250 · pith_short_12: TLV4TDYHQJM6 · pith_short_16: TLV4TDYHQJM6UFRI · pith_short_8: TLV4TDYH

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/TLV4TDYHQJM6UFRI72AYS7B4YM \
  | 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: 9aebc98f078259ea1628fe81897c3cc307b70431f4a0d096a761cf7e80694652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62496ace94cc2f5c3d12e46b4d15179ed1c1c9d7dd81412937653f5d97fb3855",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-04T19:53:20Z",
    "title_canon_sha256": "3da357a186214cd30c4496c489eafedff273cea0ddf27a137fc7902a430a2459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1250",
    "kind": "arxiv",
    "version": 2
  }
}