Pith Number

pith:BTF2LQFM

pith:2013:BTF2LQFMLEOTB3A5BX5XJWXFFY

not attested not anchored not stored refs pending

Symplectic Cohomology and the Stability of J-Anti-Invariant Cohomology

Hongyu Wang, Peng Zhu, Qiang Tan, Ying Zhang

arxiv:1307.1513 v2 · 2013-07-05 · 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{BTF2LQFMLEOTB3A5BX5XJWXFFY}

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	2026-05-18T02:37:44.832229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccba5c0ac591d30ec1d0dfb74dae52e14b36fe4822db33ac89b73fd6acfa64c

Aliases

arxiv: 1307.1513 · arxiv_version: 1307.1513v2 · doi: 10.48550/arxiv.1307.1513 · pith_short_12: BTF2LQFMLEOT · pith_short_16: BTF2LQFMLEOTB3A5 · pith_short_8: BTF2LQFM

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/BTF2LQFMLEOTB3A5BX5XJWXFFY \
  | 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: 0ccba5c0ac591d30ec1d0dfb74dae52e14b36fe4822db33ac89b73fd6acfa64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613935a938398f2be569b64230a8549216717b68f65757cef5ff9ae7a91d5642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-07-05T03:24:37Z",
    "title_canon_sha256": "4f94d7748858fde31a84b87cd90c37425eae3b09b6857f2c155a3b4bb351b998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1513",
    "kind": "arxiv",
    "version": 2
  }
}