Pith Number

pith:ABZERWVM

pith:2009:ABZERWVMRYQE5SCHICI5YMFAWH

not attested not anchored not stored refs pending

Generalized complex hamiltonian torus actions: Examples and constraints

Thomas Baird, Yi Lin

arxiv:0904.1178 v2 · 2009-04-07 · 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{ABZERWVMRYQE5SCHICI5YMFAWH}

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	2026-05-18T02:58:03.368250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007248daac8e204ec8474091dc30a0b1f44b7776a5fe001b7004ab246d160b9c

Aliases

arxiv: 0904.1178 · arxiv_version: 0904.1178v2 · doi: 10.48550/arxiv.0904.1178 · pith_short_12: ABZERWVMRYQE · pith_short_16: ABZERWVMRYQE5SCH · pith_short_8: ABZERWVM

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/ABZERWVMRYQE5SCHICI5YMFAWH \
  | 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: 007248daac8e204ec8474091dc30a0b1f44b7776a5fe001b7004ab246d160b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf231dc3a3f8d86aefe55e59e1df3a836926653fa14bd0babe39154a1d41b16c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-07T16:15:57Z",
    "title_canon_sha256": "87320ae1168af6e3f4a265231f8f318fa5176a7a9288af96af6676539db25f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1178",
    "kind": "arxiv",
    "version": 2
  }
}