Pith Number

pith:BGUZAB7M

pith:2017:BGUZAB7MNPGJKE5RDZ5CT4JF65

not attested not anchored not stored refs pending

Quadratic reciprocity and Some "non-differentiable" functions

Azizul Hoque, Kalyan Chakraborty

arxiv:1710.07777 v1 · 2017-10-21 · 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{BGUZAB7MNPGJKE5RDZ5CT4JF65}

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	2026-05-18T00:32:19.687943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a99007ec6bcc9513b11e7a29f125f743cfaf811041fdd200475b07d273b006

Aliases

arxiv: 1710.07777 · arxiv_version: 1710.07777v1 · doi: 10.48550/arxiv.1710.07777 · pith_short_12: BGUZAB7MNPGJ · pith_short_16: BGUZAB7MNPGJKE5R · pith_short_8: BGUZAB7M

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/BGUZAB7MNPGJKE5RDZ5CT4JF65 \
  | 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: 09a99007ec6bcc9513b11e7a29f125f743cfaf811041fdd200475b07d273b006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d45c40dd7d8400ebd46e9509d3b65e55be2e4ffaa90d3810ff3a718a2d70ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-21T09:18:59Z",
    "title_canon_sha256": "bf41bf475d4d47bfb3f60f6408026de420b24336a4c1f76ffec1edee262ebb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07777",
    "kind": "arxiv",
    "version": 1
  }
}