Pith Number

pith:AOEKQIMC

pith:2003:AOEKQIMC5UOX23KQ75UZK5GMIZ

not attested not anchored not stored refs pending

Equations for the self-consistent field in random medium

A.G.Ramm

arxiv:math-ph/0301046 v3 · 2003-01-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOEKQIMC5UOX23KQ75UZK5GMIZ}

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	2026-05-18T01:05:31.866075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0388a82182ed1d7d6d50ff699574cc4661f3334935c7f54b3617e157d1dc4b1e

Aliases

arxiv: math-ph/0301046 · arxiv_version: math-ph/0301046v3 · doi: 10.48550/arxiv.math-ph/0301046 · pith_short_12: AOEKQIMC5UOX · pith_short_16: AOEKQIMC5UOX23KQ · pith_short_8: AOEKQIMC

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/AOEKQIMC5UOX23KQ75UZK5GMIZ \
  | 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: 0388a82182ed1d7d6d50ff699574cc4661f3334935c7f54b3617e157d1dc4b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6b39037a86ba047363c4c237d80220abe8c50d2bb8abe9fa463c6e99fb9139",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-01-31T20:54:40Z",
    "title_canon_sha256": "11c4a4e7a1e957d2b8e7156430950cbcdaba91c2e4d890c67a53c8719bb1c149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0301046",
    "kind": "arxiv",
    "version": 3
  }
}