Pith Number

pith:HDVN75K3

pith:2014:HDVN75K37GUEMDT6OI5X6Q7HAC

not attested not anchored not stored refs pending

Periods of the $j$-function along infinite geodesics and mock modular forms

Nickolas Andersen

arxiv:1410.7337 v1 · 2014-10-27 · 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{HDVN75K37GUEMDT6OI5X6Q7HAC}

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	2026-05-18T01:53:09.105004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38eadff55bf9a8460e7e723b7f43e7008eba5c646ea5973b1a7cb960e526816e

Aliases

arxiv: 1410.7337 · arxiv_version: 1410.7337v1 · doi: 10.48550/arxiv.1410.7337 · pith_short_12: HDVN75K37GUE · pith_short_16: HDVN75K37GUEMDT6 · pith_short_8: HDVN75K3

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/HDVN75K37GUEMDT6OI5X6Q7HAC \
  | 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: 38eadff55bf9a8460e7e723b7f43e7008eba5c646ea5973b1a7cb960e526816e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3570c9511e0f5d85d99634afe7671b9168736d546627bbf56e16530987eef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-27T18:18:44Z",
    "title_canon_sha256": "89c32f507d8988011720770bedfb82d8e8de4b2abf3515080dacb181ab80d784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7337",
    "kind": "arxiv",
    "version": 1
  }
}