Pith Number

pith:QKSCIFYE

pith:2011:QKSCIFYEGW5BFHXCHUVKWW5TNB

not attested not anchored not stored refs pending

Representing homology classes by symplectic surfaces

M. J. D. Hamilton

arxiv:1109.5136 v3 · 2011-09-23 · math.GT · 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{QKSCIFYEGW5BFHXCHUVKWW5TNB}

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	2026-05-17T23:52:19.526188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a424170435ba129ee23d2aab5bb368609f24b5817e46e4db4f9157c833d520

Aliases

arxiv: 1109.5136 · arxiv_version: 1109.5136v3 · doi: 10.48550/arxiv.1109.5136 · pith_short_12: QKSCIFYEGW5B · pith_short_16: QKSCIFYEGW5BFHXC · pith_short_8: QKSCIFYE

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/QKSCIFYEGW5BFHXCHUVKWW5TNB \
  | 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: 82a424170435ba129ee23d2aab5bb368609f24b5817e46e4db4f9157c833d520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d834a220ed3565423d5ee441d3a718edcfcc7114f89d612be62ff446fbe5f224",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-23T17:30:10Z",
    "title_canon_sha256": "de04e5fd5bef3cd49934183b58de6202f92ed94cc1d9c4ab66bc9ed4af5705d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5136",
    "kind": "arxiv",
    "version": 3
  }
}