Pith Number

pith:ZWZFT2KF

pith:2013:ZWZFT2KF7NH6L6HWKU77X5RK6S

not attested not anchored not stored refs pending

Equivariant functions and vector-valued modular forms

Abdellah Sebbar, Hicham Saber

arxiv:1312.2991 v1 · 2013-12-10 · math.NT · hep-th · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWZFT2KF7NH6L6HWKU77X5RK6S}

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	2026-05-18T03:04:23.715329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb259e945fb4fe5f8f6553ffbf62af48846d52f80dd7e9bf9d5a6509a0d9c0f

Aliases

arxiv: 1312.2991 · arxiv_version: 1312.2991v1 · doi: 10.48550/arxiv.1312.2991 · pith_short_12: ZWZFT2KF7NH6 · pith_short_16: ZWZFT2KF7NH6L6HW · pith_short_8: ZWZFT2KF

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/ZWZFT2KF7NH6L6HWKU77X5RK6S \
  | 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: cdb259e945fb4fe5f8f6553ffbf62af48846d52f80dd7e9bf9d5a6509a0d9c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b2a13edbb1a9665fea65ced31981a6f8343bf96e5cada591fd7735979902c7",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-10T22:51:40Z",
    "title_canon_sha256": "83ff56c0d64b87de59915a57c889b30db642e68ad574f88eb297d49f056133cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2991",
    "kind": "arxiv",
    "version": 1
  }
}