Pith Number

pith:YJBWI2CG

pith:2014:YJBWI2CGDKJVYRKJYWQGPORGYU

not attested not anchored not stored refs pending

Value sharing by an entire function with its derivatives

Indrajit Lahiri, Rajib Mukherjee

arxiv:1405.0136 v1 · 2014-05-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJBWI2CGDKJVYRKJYWQGPORGYU}

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	2026-05-18T02:52:48.924694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2436468461a935c4549c5a067ba26c51afa4b75e296ce536c1b56547c979b09

Aliases

arxiv: 1405.0136 · arxiv_version: 1405.0136v1 · doi: 10.48550/arxiv.1405.0136 · pith_short_12: YJBWI2CGDKJV · pith_short_16: YJBWI2CGDKJVYRKJ · pith_short_8: YJBWI2CG

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/YJBWI2CGDKJVYRKJYWQGPORGYU \
  | 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: c2436468461a935c4549c5a067ba26c51afa4b75e296ce536c1b56547c979b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b0cd703835ba2a9215df4729d9ebe91db317878ac0531a0b4514f2c8c801f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-05-01T11:31:04Z",
    "title_canon_sha256": "f0f005db4856aa238ad6282ae4cbc6b48a3c9c1f9ef551aefd0220aea6cfaeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0136",
    "kind": "arxiv",
    "version": 1
  }
}