Pith Number

pith:76MBAQ55

pith:2010:76MBAQ55EHTVCSWS2RLAIJUO6G

not attested not anchored not stored refs pending

Self-adjoint sub-classes of third and fourth-order evolution equations

Igor Leite Freire

arxiv:1010.1765 v1 · 2010-10-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76MBAQ55EHTVCSWS2RLAIJUO6G}

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	2026-05-18T00:00:23.193720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff981043bd21e7514ad2d45604268ef1be2ffba42b0839814c2140340cf1e5e7

Aliases

arxiv: 1010.1765 · arxiv_version: 1010.1765v1 · doi: 10.48550/arxiv.1010.1765 · pith_short_12: 76MBAQ55EHTV · pith_short_16: 76MBAQ55EHTVCSWS · pith_short_8: 76MBAQ55

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/76MBAQ55EHTVCSWS2RLAIJUO6G \
  | 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: ff981043bd21e7514ad2d45604268ef1be2ffba42b0839814c2140340cf1e5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd6fa9ffdc8c4e79c366aa9af83d00e3203545014effd72e4088751aa1c52d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-08T18:59:32Z",
    "title_canon_sha256": "39a89fbdbf8ee8965f29a8d9be6f6cc8d473df9b08ac212ef3724dba63b9aff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1765",
    "kind": "arxiv",
    "version": 1
  }
}