Pith Number

pith:S3VFKFZF

pith:2000:S3VFKFZFESPFFXYSMR46M2MYD6

not attested not anchored not stored refs pending

Monodromy Representations of the Braid Group

Ivan Todorov, Ludmil Hadjiivanov

arxiv:hep-th/0012099 v1 · 2000-12-12 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3VFKFZFESPFFXYSMR46M2MYD6}

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	2026-07-04T16:21:08.461948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ea551725249e52df126479e669981fa3caac314339f99ec197e78f22f44186

Aliases

arxiv: hep-th/0012099 · arxiv_version: hep-th/0012099v1 · doi: 10.48550/arxiv.hep-th/0012099 · pith_short_12: S3VFKFZFESPF · pith_short_16: S3VFKFZFESPFFXYS · pith_short_8: S3VFKFZF

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/S3VFKFZFESPFFXYSMR46M2MYD6 \
  | 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: 96ea551725249e52df126479e669981fa3caac314339f99ec197e78f22f44186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a087d050c73e10723f1281b01c7b94c480cc65645d612c15794d23a708d87b7e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-12T10:31:09Z",
    "title_canon_sha256": "f70236850717254b76d676119a3d0b89e5a22906c5f7a8874e036e8125a4184c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012099",
    "kind": "arxiv",
    "version": 1
  }
}