Pith Number

pith:3WS6UBG7

pith:2013:3WS6UBG7GUZKIJYTW7AVUOQBM7

not attested not anchored not stored refs pending

The stable homotopy theory of vortices on Riemann surfaces

Markus Szymik

arxiv:1310.7737 v1 · 2013-10-29 · math.GT · 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{3WS6UBG7GUZKIJYTW7AVUOQBM7}

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	2026-05-18T03:08:35.409772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda5ea04df3532a42713b7c15a3a0167ee0b27478b9bf4e1f28b1aa393c0d284

Aliases

arxiv: 1310.7737 · arxiv_version: 1310.7737v1 · doi: 10.48550/arxiv.1310.7737 · pith_short_12: 3WS6UBG7GUZK · pith_short_16: 3WS6UBG7GUZKIJYT · pith_short_8: 3WS6UBG7

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/3WS6UBG7GUZKIJYTW7AVUOQBM7 \
  | 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: dda5ea04df3532a42713b7c15a3a0167ee0b27478b9bf4e1f28b1aa393c0d284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c032a4c53f1d308627e64cea9e340c824a8bd0d278356d9ddbc104183558283",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-29T10:10:23Z",
    "title_canon_sha256": "78ee4507efbc12f3f37d264fa58b541675e5b99ab3737c6ec0e74b0e4116c17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7737",
    "kind": "arxiv",
    "version": 1
  }
}