Pith Number

pith:TLRDRIA7

pith:2011:TLRDRIA73X56Z6R72CELNTL2Z5

not attested not anchored not stored refs pending

Semi-classical dispersive estimates

Claudio Cuevas, Fernando Cardoso, Georgi Vodev

arxiv:1105.5996 v2 · 2011-05-30 · math.AP · 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{TLRDRIA73X56Z6R72CELNTL2Z5}

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	2026-05-18T04:19:11.828018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae238a01fddfbecfa3fd088b6cd7acf7f6cf0fd353705a3f395c330b8b0a89d

Aliases

arxiv: 1105.5996 · arxiv_version: 1105.5996v2 · doi: 10.48550/arxiv.1105.5996 · pith_short_12: TLRDRIA73X56 · pith_short_16: TLRDRIA73X56Z6R7 · pith_short_8: TLRDRIA7

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/TLRDRIA73X56Z6R72CELNTL2Z5 \
  | 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: 9ae238a01fddfbecfa3fd088b6cd7acf7f6cf0fd353705a3f395c330b8b0a89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c3d23ea569f0be08ce0c08f804c7796cff84463dacc786c885587df411c881",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-30T13:54:34Z",
    "title_canon_sha256": "580f4fe5bc0e3a4491085ac4b1b5c2a005435c71591447703b111da7066c2abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5996",
    "kind": "arxiv",
    "version": 2
  }
}