Pith Number

pith:V7K3UJE6

pith:2021:V7K3UJE6NDR2I5XIY6VY7O552X

not attested not anchored not stored refs pending

Cohomology of Jacobi forms

A. Zuevsky

arxiv:2106.07773 v7 · 2021-06-11 · math.NT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7K3UJE6NDR2I5XIY6VY7O552X}

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	2026-06-19T16:11:07.070793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd5ba249e68e3a476e8c7ab8fbbbdd5f9d412dc1e8720eb6d4d6e1fb025617e

Aliases

arxiv: 2106.07773 · arxiv_version: 2106.07773v7 · doi: 10.48550/arxiv.2106.07773 · pith_short_12: V7K3UJE6NDR2 · pith_short_16: V7K3UJE6NDR2I5XI · pith_short_8: V7K3UJE6

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/V7K3UJE6NDR2I5XIY6VY7O552X \
  | 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: afd5ba249e68e3a476e8c7ab8fbbbdd5f9d412dc1e8720eb6d4d6e1fb025617e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ad29d76c8fa6bb452e65e332461bd5e05016bf091e7e113cc6a3d81b737d54",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-06-11T06:45:51Z",
    "title_canon_sha256": "480b12a5f8489459aa965f7af512b4e25dcb1ebba6ef7d52d6e344ab31d2b905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.07773",
    "kind": "arxiv",
    "version": 7
  }
}