Pith Number

pith:EI7Z6S4L

pith:2012:EI7Z6S4LRMYG2FOVYPVOENL24R

not attested not anchored not stored refs pending

Uniform Sobolev estimates for non-trapping metrics

Andrew Hassell, Colin Guillarmou

arxiv:1205.4150 v1 · 2012-05-18 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI7Z6S4LRMYG2FOVYPVOENL24R}

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	2026-05-18T02:50:40.729486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

223f9f4b8b8b306d15d5c3eae2357ae46275c61bf41513923df570d9cabdc424

Aliases

arxiv: 1205.4150 · arxiv_version: 1205.4150v1 · doi: 10.48550/arxiv.1205.4150 · pith_short_12: EI7Z6S4LRMYG · pith_short_16: EI7Z6S4LRMYG2FOV · pith_short_8: EI7Z6S4L

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/EI7Z6S4LRMYG2FOVYPVOENL24R \
  | 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: 223f9f4b8b8b306d15d5c3eae2357ae46275c61bf41513923df570d9cabdc424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69668f00ad48877dc7ab049ade776ab264835d9225342c539c4adafa6aebc7af",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-18T12:32:45Z",
    "title_canon_sha256": "849e021e661cb7f16fd71cd45ac588819650635ed6c836f494927debbd118238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4150",
    "kind": "arxiv",
    "version": 1
  }
}