Pith Number

pith:F43AL7TY

pith:2012:F43AL7TY34EKJZVYZ4BBFSEGL3

not attested not anchored not stored refs pending

Braid groups in complex spaces

Saima Parveen, Sandro Manfredini, Simona Settepanella

arxiv:1209.2839 v1 · 2012-09-13 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F43AL7TY34EKJZVYZ4BBFSEGL3}

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	2026-05-18T03:45:40.808834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3605fe78df08a4e6b8cf0212c8865eed18299ececb67896ac651e06d7ee861

Aliases

arxiv: 1209.2839 · arxiv_version: 1209.2839v1 · doi: 10.48550/arxiv.1209.2839 · pith_short_12: F43AL7TY34EK · pith_short_16: F43AL7TY34EKJZVY · pith_short_8: F43AL7TY

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/F43AL7TY34EKJZVYZ4BBFSEGL3 \
  | 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: 2f3605fe78df08a4e6b8cf0212c8865eed18299ececb67896ac651e06d7ee861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346af1ca67dd462d73d84466956c87674f75d40b6fe65893e7fb7771a742b680",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-13T10:05:12Z",
    "title_canon_sha256": "714f012b8fbf724fcd8645771538499c09e33868abe9b2168ae1ffa58c4f41e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2839",
    "kind": "arxiv",
    "version": 1
  }
}