Pith Number

pith:FK5PA5EE

pith:2015:FK5PA5EE7JOFNHIZULFC5Z2AKD

not attested not anchored not stored refs pending

An asymptotic formula for the zeros of the deformed exponential function

Cheng Zhang

arxiv:1501.02700 v3 · 2015-01-12 · 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{FK5PA5EE7JOFNHIZULFC5Z2AKD}

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	2026-05-18T01:16:07.335966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abaf07484fa5c569d19a2ca2ee74050dca6e9e5e230d0a9a6182247e447338a

Aliases

arxiv: 1501.02700 · arxiv_version: 1501.02700v3 · doi: 10.48550/arxiv.1501.02700 · pith_short_12: FK5PA5EE7JOF · pith_short_16: FK5PA5EE7JOFNHIZ · pith_short_8: FK5PA5EE

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/FK5PA5EE7JOFNHIZULFC5Z2AKD \
  | 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: 2abaf07484fa5c569d19a2ca2ee74050dca6e9e5e230d0a9a6182247e447338a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8c506d0c4d4dba4409a059ff43ccf5c98b2a5b86467c69fe18f1ef48ca117f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-12T16:30:31Z",
    "title_canon_sha256": "89e154780df46175fc4259f92ef64853aa5158012314cc52c9cd863233528f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02700",
    "kind": "arxiv",
    "version": 3
  }
}