Pith Number

pith:TXEGC4NO

pith:2010:TXEGC4NOIAGHG6ELMTWO44TU4O

not attested not anchored not stored refs pending

Harmonic analysis of translation invariant valuations

Andreas Bernig, Franz E. Schuster, Semyon Alesker

arxiv:1008.3768 v2 · 2010-08-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXEGC4NOIAGHG6ELMTWO44TU4O}

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	2026-05-18T04:15:36.119900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc86171ae400c73788b64ecee7274e39d6c9df8b4139f9853161eaf4894883e

Aliases

arxiv: 1008.3768 · arxiv_version: 1008.3768v2 · doi: 10.48550/arxiv.1008.3768 · pith_short_12: TXEGC4NOIAGH · pith_short_16: TXEGC4NOIAGHG6EL · pith_short_8: TXEGC4NO

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/TXEGC4NOIAGHG6ELMTWO44TU4O \
  | 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: 9dc86171ae400c73788b64ecee7274e39d6c9df8b4139f9853161eaf4894883e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0332f547eeb4c70cfb8f08feaa9a75094be0eac12222b6bc657afb9e2fd324ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-23T07:52:55Z",
    "title_canon_sha256": "34bffc7947ff53c30cd8a253b82a448b03866f046ac042b5c436fdd6f197e1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3768",
    "kind": "arxiv",
    "version": 2
  }
}