Pith Number

pith:45D4WP7C

pith:2017:45D4WP7CIKM2DSKW35KNBOJ6DD

not attested not anchored not stored refs pending

Null structures and degenerate dispersion relations in two space dimensions

Daniel Tataru, Yuqiu Fu

arxiv:1801.00099 v1 · 2017-12-30 · 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{45D4WP7CIKM2DSKW35KNBOJ6DD}

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	2026-05-18T00:26:59.446198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e747cb3fe24299a1c956df54d0b93e18c5b9d3d634e5091d143cb43e12fc630a

Aliases

arxiv: 1801.00099 · arxiv_version: 1801.00099v1 · doi: 10.48550/arxiv.1801.00099 · pith_short_12: 45D4WP7CIKM2 · pith_short_16: 45D4WP7CIKM2DSKW · pith_short_8: 45D4WP7C

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/45D4WP7CIKM2DSKW35KNBOJ6DD \
  | 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: e747cb3fe24299a1c956df54d0b93e18c5b9d3d634e5091d143cb43e12fc630a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd692695d9d8325078db589487855fc1bae8d588553922083c1ee1a173a57225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-30T08:05:20Z",
    "title_canon_sha256": "0a70116f6de5bcbc205b5cf26b3b4405a44de059d27d735f411b4f6b31f6cafb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00099",
    "kind": "arxiv",
    "version": 1
  }
}