Pith Number

pith:KNLT7J2H

pith:2017:KNLT7J2HERPHH7P4AQJKKNYGK7

not attested not anchored not stored refs pending

Heine's method and $A_n$ to $A_m$ transformation formulas

Gaurav Bhatnagar

arxiv:1705.10095 v2 · 2017-05-29 · 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{KNLT7J2HERPHH7P4AQJKKNYGK7}

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	2026-05-17T23:47:31.780988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53573fa747245e73fdfc0412a5370657c2c2ddf9d01607ee48d557cdbc1849c2

Aliases

arxiv: 1705.10095 · arxiv_version: 1705.10095v2 · doi: 10.48550/arxiv.1705.10095 · pith_short_12: KNLT7J2HERPH · pith_short_16: KNLT7J2HERPHH7P4 · pith_short_8: KNLT7J2H

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/KNLT7J2HERPHH7P4AQJKKNYGK7 \
  | 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: 53573fa747245e73fdfc0412a5370657c2c2ddf9d01607ee48d557cdbc1849c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123926e3b16b0395a5ccba2bb9c4c87dda659e8a62dab75ec56a0caeee5a19bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-29T09:57:21Z",
    "title_canon_sha256": "4a91654fcb0f93fd335d39098d19e776b3da7a05891a97cf55743d5d814e9b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10095",
    "kind": "arxiv",
    "version": 2
  }
}