Pith Number

pith:HWLPT7TY

pith:2016:HWLPT7TYCHMGQLB7N6EJRCWMHD

not attested not anchored not stored refs pending

The Biharmonic mean

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1601.03081 v1 · 2016-01-12 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWLPT7TYCHMGQLB7N6EJRCWMHD}

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	2026-05-18T01:22:56.934474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d96f9fe7811d8682c3f6f88988acc38e7a7006fd01fcaa78b8c4ecd232c8bdc

Aliases

arxiv: 1601.03081 · arxiv_version: 1601.03081v1 · doi: 10.48550/arxiv.1601.03081 · pith_short_12: HWLPT7TYCHMG · pith_short_16: HWLPT7TYCHMGQLB7 · pith_short_8: HWLPT7TY

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/HWLPT7TYCHMGQLB7N6EJRCWMHD \
  | 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: 3d96f9fe7811d8682c3f6f88988acc38e7a7006fd01fcaa78b8c4ecd232c8bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62ad9fd74bba343e75f8e63c89288f35b3e9a282082e6070a8eb13f9c343ac3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-12T22:01:12Z",
    "title_canon_sha256": "36198fd2e80cf51446d2375669dd6ad4e07e1ab3cecbcb7da7b0aa72d70cd096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03081",
    "kind": "arxiv",
    "version": 1
  }
}