Pith Number

pith:XKQILPT3

pith:2017:XKQILPT3C66445U6L6B7I2J5HV

not attested not anchored not stored refs pending

Test map and Discreteness in SL(2, $\mathbb H$)

Abhishek Mukherjee, Krishnendu Gongopadhyay, Sujit Kumar Sardar

arxiv:1708.05792 v2 · 2017-08-19 · 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{XKQILPT3C66445U6L6B7I2J5HV}

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	2026-05-18T00:16:45.089057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa085be7b17bdce769e5f83f4693d3d4f461d481310d8adc3e6d1f3ba62c413

Aliases

arxiv: 1708.05792 · arxiv_version: 1708.05792v2 · doi: 10.48550/arxiv.1708.05792 · pith_short_12: XKQILPT3C664 · pith_short_16: XKQILPT3C66445U6 · pith_short_8: XKQILPT3

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/XKQILPT3C66445U6L6B7I2J5HV \
  | 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: baa085be7b17bdce769e5f83f4693d3d4f461d481310d8adc3e6d1f3ba62c413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c248f6ba9f345ab3086b3ff4592f1257333cca9a2ba2df514d2d1bafef582f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-19T02:12:08Z",
    "title_canon_sha256": "b8b330c3230ffa8157b94e2bbbbaf4aafee6b33fd6c67732067ecf1529b8b727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05792",
    "kind": "arxiv",
    "version": 2
  }
}