Pith Number

pith:RY6NKNZ6

pith:2015:RY6NKNZ6IH7WM4UTQUPMOAVG7T

not attested not anchored not stored refs pending

Representation of vector fields

A.G.Ramm

arxiv:1503.00649 v1 · 2015-03-02 · 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{RY6NKNZ6IH7WM4UTQUPMOAVG7T}

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	2026-05-18T02:25:49.580554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3cd5373e41ff667293851ec702a6fcc758c1a0b643785546ad428e3705d6ff

Aliases

arxiv: 1503.00649 · arxiv_version: 1503.00649v1 · doi: 10.48550/arxiv.1503.00649 · pith_short_12: RY6NKNZ6IH7W · pith_short_16: RY6NKNZ6IH7WM4UT · pith_short_8: RY6NKNZ6

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/RY6NKNZ6IH7WM4UTQUPMOAVG7T \
  | 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: 8e3cd5373e41ff667293851ec702a6fcc758c1a0b643785546ad428e3705d6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ec19647006fd0e891e3d11e1e3ee05fe61572f8c187fb1d8be6e2068836355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-02T18:09:47Z",
    "title_canon_sha256": "a54b3846a3218f3126e8fb1e4053c277cb391cd3a5da3a78fa295512f48184f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00649",
    "kind": "arxiv",
    "version": 1
  }
}