Pith Number

pith:CLUEHJ5S

pith:2016:CLUEHJ5S4S3RKJ4PAIOAZAR7ME

not attested not anchored not stored refs pending

A representation theoretic characterization of simple closed curves on a surface

Ramanujan Santharoubane, Thomas Koberda

arxiv:1603.03456 v3 · 2016-03-10 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLUEHJ5S4S3RKJ4PAIOAZAR7ME}

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	2026-05-18T00:28:27.335764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e843a7b2e4b715278f021c0c823f61030a0dee4f7eaaa574d3fb81ac5da9e4

Aliases

arxiv: 1603.03456 · arxiv_version: 1603.03456v3 · doi: 10.48550/arxiv.1603.03456 · pith_short_12: CLUEHJ5S4S3R · pith_short_16: CLUEHJ5S4S3RKJ4P · pith_short_8: CLUEHJ5S

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/CLUEHJ5S4S3RKJ4PAIOAZAR7ME \
  | 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: 12e843a7b2e4b715278f021c0c823f61030a0dee4f7eaaa574d3fb81ac5da9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92bd4245c3e67033046cbc2c743cb93f2fac6d7e0e49c5ba55928341975a8c42",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-10T21:39:33Z",
    "title_canon_sha256": "011ea614e4ef2adf17e08fa6f10ed398713b51e23334211b060e69541a32ce0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03456",
    "kind": "arxiv",
    "version": 3
  }
}