Pith Number

pith:H4ZYFR5E

pith:2012:H4ZYFR5EWPJUSKPNX7JKQNO2Z4

not attested not anchored not stored refs pending

A Jordan algebra approach to the cubic eiconal equation

Vladimir G. Tkachev

arxiv:1211.7223 v2 · 2012-11-30 · math.AP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4ZYFR5EWPJUSKPNX7JKQNO2Z4}

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	2026-05-18T02:44:08.603800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3382c7a4b3d34929edbfd2a835dacf2e60909431427e745f74b35431cd247d

Aliases

arxiv: 1211.7223 · arxiv_version: 1211.7223v2 · doi: 10.48550/arxiv.1211.7223 · pith_short_12: H4ZYFR5EWPJU · pith_short_16: H4ZYFR5EWPJUSKPN · pith_short_8: H4ZYFR5E

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/H4ZYFR5EWPJUSKPNX7JKQNO2Z4 \
  | 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: 3f3382c7a4b3d34929edbfd2a835dacf2e60909431427e745f74b35431cd247d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53827b42244532eebaf327f19bb1b6081d76b1f2edd9c88e91446a6e2a4e586e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-30T11:59:04Z",
    "title_canon_sha256": "cf476dec8a3ec04de0256cc4977ea0e11762ed6d0441eb18fceedf62fea04b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7223",
    "kind": "arxiv",
    "version": 2
  }
}