Pith Number

pith:CPSEAOVF

pith:2017:CPSEAOVFP2RH7FU6BF4O4C3V2G

not attested not anchored not stored refs pending

Measurably entire functions and their growth

Adi Gl\"ucksam

arxiv:1708.05991 v2 · 2017-08-20 · math.DS · 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{CPSEAOVFP2RH7FU6BF4O4C3V2G}

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	2026-05-18T00:20:22.070261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e4403aa57ea27f969e0978ee0b75d1bd19e6810afbb2ef6057fe36cd5e166a

Aliases

arxiv: 1708.05991 · arxiv_version: 1708.05991v2 · doi: 10.48550/arxiv.1708.05991 · pith_short_12: CPSEAOVFP2RH · pith_short_16: CPSEAOVFP2RH7FU6 · pith_short_8: CPSEAOVF

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/CPSEAOVFP2RH7FU6BF4O4C3V2G \
  | 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: 13e4403aa57ea27f969e0978ee0b75d1bd19e6810afbb2ef6057fe36cd5e166a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3da5b0b7f76f7609dfff35b9a17eb60fb85f6752bfed1a9c16185e049ca48fb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-20T16:25:31Z",
    "title_canon_sha256": "8f88635c965db82c6c3486a7be270cdb6d4c69b2a8faea8a367b499848729d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05991",
    "kind": "arxiv",
    "version": 2
  }
}