Pith Number

pith:77TSZP3V

pith:2017:77TSZP3VAKSLI3VWZYCSQT6J5N

not attested not anchored not stored refs pending

Symplectic aspects of polar actions

Jianyu Ou, Xiaoyang Chen

arxiv:1701.07985 v1 · 2017-01-27 · 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{77TSZP3VAKSLI3VWZYCSQT6J5N}

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	2026-05-18T00:51:59.234140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe72cbf7502a4b46eb6ce05284fc9eb5682c49c33445c850f06ff2080bda97c

Aliases

arxiv: 1701.07985 · arxiv_version: 1701.07985v1 · doi: 10.48550/arxiv.1701.07985 · pith_short_12: 77TSZP3VAKSL · pith_short_16: 77TSZP3VAKSLI3VW · pith_short_8: 77TSZP3V

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/77TSZP3VAKSLI3VWZYCSQT6J5N \
  | 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: ffe72cbf7502a4b46eb6ce05284fc9eb5682c49c33445c850f06ff2080bda97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27a4af2bbbd753c2fbd35c0186461022f195e72b8098d031e4ea22582be6024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-27T09:43:45Z",
    "title_canon_sha256": "b547e4a5b35907464965cee5d2076aa0f0085228bd2d67fbd74f5bfa5b3ae0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07985",
    "kind": "arxiv",
    "version": 1
  }
}