Pith Number

pith:QNO66UX5

pith:2002:QNO66UX5AQBSKIPAUR4DVWVDQG

not attested not anchored not stored refs pending

Immersions of surfaces in spin$^c$-manifolds with Higgs fields

Andrzej Derdzinski (Ohio State University, Columbus, Ohio, Poland), Tadeusz Januszkiewicz (Wroclaw University, USA), Wroclaw

arxiv:math/0210253 v1 · 2002-10-16 · 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{QNO66UX5AQBSKIPAUR4DVWVDQG}

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	2026-05-18T01:05:29.321660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835def52fd04032521e0a4783adaa3819e452e59fcf8e0396265810e203694bf

Aliases

arxiv: math/0210253 · arxiv_version: math/0210253v1 · doi: 10.48550/arxiv.math/0210253 · pith_short_12: QNO66UX5AQBS · pith_short_16: QNO66UX5AQBSKIPA · pith_short_8: QNO66UX5

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/QNO66UX5AQBSKIPAUR4DVWVDQG \
  | 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: 835def52fd04032521e0a4783adaa3819e452e59fcf8e0396265810e203694bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd56b2b476c2aa0bc946687a9e530d65ce03049d82ba92601440c89a716b056d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-10-16T21:01:03Z",
    "title_canon_sha256": "a1f445a09df2fdfe4a5e69a37a1396eb5707c175b0e7ed927c6b307768b06b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210253",
    "kind": "arxiv",
    "version": 1
  }
}