Pith Number

pith:2GVB2EAG

pith:2011:2GVB2EAGH4GPB4GZ2FONOXNDRS

not attested not anchored not stored refs pending

Systems of symplectic forms on four-manifolds

Paul-Andi Nagy, Simon G.Chiossi

arxiv:1102.1995 v2 · 2011-02-09 · 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{2GVB2EAGH4GPB4GZ2FONOXNDRS}

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	2026-05-18T03:19:01.885545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1aa1d10063f0cf0f0d9d15cd75da38c92ea2e909856020587156d95c458b771

Aliases

arxiv: 1102.1995 · arxiv_version: 1102.1995v2 · doi: 10.48550/arxiv.1102.1995 · pith_short_12: 2GVB2EAGH4GP · pith_short_16: 2GVB2EAGH4GPB4GZ · pith_short_8: 2GVB2EAG

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/2GVB2EAGH4GPB4GZ2FONOXNDRS \
  | 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: d1aa1d10063f0cf0f0d9d15cd75da38c92ea2e909856020587156d95c458b771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638fc25f66ebcc02ec81dc4804b2099bf999f81ad06d37acb629b0f769b0c2d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-09T22:12:39Z",
    "title_canon_sha256": "507306b2e6158a64bd253645e47348985e91c18f94b102d27381244c7c1923db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1995",
    "kind": "arxiv",
    "version": 2
  }
}