Pith Number

pith:DZJJ4Z2T

pith:2018:DZJJ4Z2TNS5NGALPBPGDNUINAM

not attested not anchored not stored refs pending

Faulhaber and Bernoulli

Ryan Zielinski

arxiv:1812.07633 v1 · 2018-12-07 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZJJ4Z2TNS5NGALPBPGDNUINAM}

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	2026-05-17T23:49:50.404514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e529e67536cbad3016f0bcc36d10d0326d4da045a6b57835d6b164c48ad4929

Aliases

arxiv: 1812.07633 · arxiv_version: 1812.07633v1 · doi: 10.48550/arxiv.1812.07633 · pith_short_12: DZJJ4Z2TNS5N · pith_short_16: DZJJ4Z2TNS5NGALP · pith_short_8: DZJJ4Z2T

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/DZJJ4Z2TNS5NGALPBPGDNUINAM \
  | 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: 1e529e67536cbad3016f0bcc36d10d0326d4da045a6b57835d6b164c48ad4929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ca5de8f3a9efb6b25d9d66fdd8aa3030005d06c2a7db1199233627e0790279",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-12-07T20:29:45Z",
    "title_canon_sha256": "77c8dee2506f35466d2a7b4b72ff91726a0e826e08fb2008bf12ccf586690a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07633",
    "kind": "arxiv",
    "version": 1
  }
}