Pith Number

pith:GMCFHJ4D

pith:2017:GMCFHJ4DSRK42EID6UB7THMS55

not attested not anchored not stored refs pending

A Poincar\'e series on hyperbolic space

Tathagata Basak

arxiv:1707.07790 v1 · 2017-07-25 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMCFHJ4DSRK42EID6UB7THMS55}

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	2026-05-18T00:39:30.347857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330453a7839455cd1103f503f99d92ef6d7fdcc3fb27d514104ced1e10ad18d7

Aliases

arxiv: 1707.07790 · arxiv_version: 1707.07790v1 · doi: 10.48550/arxiv.1707.07790 · pith_short_12: GMCFHJ4DSRK4 · pith_short_16: GMCFHJ4DSRK42EID · pith_short_8: GMCFHJ4D

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/GMCFHJ4DSRK42EID6UB7THMS55 \
  | 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: 330453a7839455cd1103f503f99d92ef6d7fdcc3fb27d514104ced1e10ad18d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba6116c15141c94280270ebdf71225bd1f26839835665156ab1ab33239df614",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-25T02:24:40Z",
    "title_canon_sha256": "07b5bc5760cf42216ebb0a8905aa1c169b35a4d8f22a1225dd500901c090e88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07790",
    "kind": "arxiv",
    "version": 1
  }
}