Pith Number

pith:OL2HQIDF

pith:2015:OL2HQIDF6WTPGQBV4ZNPSAN7OR

not attested not anchored not stored refs pending

Symplectic 4-manifolds via Lorentzian geometry

Amir Babak Aazami

arxiv:1504.06425 v4 · 2015-04-24 · math.DG · 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{OL2HQIDF6WTPGQBV4ZNPSAN7OR}

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	2026-05-18T00:59:27.780861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f4782065f5a6f34035e65af901bf7443054250ddf854f04f7d78840888b235

Aliases

arxiv: 1504.06425 · arxiv_version: 1504.06425v4 · doi: 10.48550/arxiv.1504.06425 · pith_short_12: OL2HQIDF6WTP · pith_short_16: OL2HQIDF6WTPGQBV · pith_short_8: OL2HQIDF

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/OL2HQIDF6WTPGQBV4ZNPSAN7OR \
  | 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: 72f4782065f5a6f34035e65af901bf7443054250ddf854f04f7d78840888b235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd1e3c1720b5f6c901e1abf17d6a3cf559916dd1aeaac5712729adaf5c269d3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-24T08:53:59Z",
    "title_canon_sha256": "d37d0c92ba389c27dad3ce4446603f6a92509272246f4b0d4ad0cc31fbd171e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06425",
    "kind": "arxiv",
    "version": 4
  }
}