Pith Number

pith:BCDBEXGO

pith:2015:BCDBEXGO67C74KVLZA4MPFRYEH

not attested not anchored not stored refs pending

On holomorphic theta functions associated to rank $r$ isotropic discrete subgroups of a $g$-dimensional complex space

Ahmed Intissar, Allal Ghanmi, Mohammed Souid El Ainin

arxiv:1506.06353 v1 · 2015-06-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCDBEXGO67C74KVLZA4MPFRYEH}

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	2026-05-18T01:41:45.393808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0886125ccef7c5fe2aabc838c7963821ee9c5729849d20d1451e903cfca84755

Aliases

arxiv: 1506.06353 · arxiv_version: 1506.06353v1 · doi: 10.48550/arxiv.1506.06353 · pith_short_12: BCDBEXGO67C7 · pith_short_16: BCDBEXGO67C74KVL · pith_short_8: BCDBEXGO

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/BCDBEXGO67C74KVLZA4MPFRYEH \
  | 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: 0886125ccef7c5fe2aabc838c7963821ee9c5729849d20d1451e903cfca84755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb390726b9f78f197f12b2b19b8e8a0e4bc2ecdeb034dd6623f5e6e44225353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-21T11:45:48Z",
    "title_canon_sha256": "06e8e20573ef3ccc8004848de2776d37bb5fb9d9c38c8e79c9c9442cd9569796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06353",
    "kind": "arxiv",
    "version": 1
  }
}