Pith Number

pith:HAPBXL4S

pith:2015:HAPBXL4S7ZPA237I3PULVPF6X7

not attested not anchored not stored refs pending

On braids and groups $G_n^k$

Igor Mikhailovich Nikonov, Vassily Olegovich Manturov

arxiv:1507.03745 v1 · 2015-07-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAPBXL4S7ZPA237I3PULVPF6X7}

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	2026-05-18T01:36:57.452036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381e1baf92fe5e0d6fe8dbe8babcbebfffcf359a446f00aae4f35f369dcaa195

Aliases

arxiv: 1507.03745 · arxiv_version: 1507.03745v1 · doi: 10.48550/arxiv.1507.03745 · pith_short_12: HAPBXL4S7ZPA · pith_short_16: HAPBXL4S7ZPA237I · pith_short_8: HAPBXL4S

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/HAPBXL4S7ZPA237I3PULVPF6X7 \
  | 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: 381e1baf92fe5e0d6fe8dbe8babcbebfffcf359a446f00aae4f35f369dcaa195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e4fd05cf355ef7c646cd98668afbea407e42525741e5b2470f047e9eb1cd9fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-14T07:28:53Z",
    "title_canon_sha256": "cc9729f2fe47a02f417c7b7d9cb9290937a863314126751be908db56ea1ae886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03745",
    "kind": "arxiv",
    "version": 1
  }
}