Pith Number

pith:NZA2SJTX

pith:2013:NZA2SJTXFH56QKJPKUJ4WRFQBY

not attested not anchored not stored refs pending

First Bloch eigenvalue in high contrast media

Marc Briane (IRMAR), Muthusamy Vanninathan (TIFR-CAM)

arxiv:1305.7209 v1 · 2013-05-30 · 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{NZA2SJTXFH56QKJPKUJ4WRFQBY}

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	2026-05-18T01:49:39.601426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e41a9267729fbe8292f5513cb44b00e046ceeda155fd84b03abf67ad75d6d51

Aliases

arxiv: 1305.7209 · arxiv_version: 1305.7209v1 · doi: 10.48550/arxiv.1305.7209 · pith_short_12: NZA2SJTXFH56 · pith_short_16: NZA2SJTXFH56QKJP · pith_short_8: NZA2SJTX

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/NZA2SJTXFH56QKJPKUJ4WRFQBY \
  | 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: 6e41a9267729fbe8292f5513cb44b00e046ceeda155fd84b03abf67ad75d6d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b269ab55da85f3c6d76e29c0bd5024b63b109be2bcddd704b6ec7259c5ea8e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-30T19:04:01Z",
    "title_canon_sha256": "b1f94b19df4efa4abc53528e6c15b9b83b39e7f8f505e5bfb0aff6e82a40d593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7209",
    "kind": "arxiv",
    "version": 1
  }
}