Pith Number

pith:ASQW43U7

pith:2015:ASQW43U754G2ZZFLBCM2I6DCYA

not attested not anchored not stored refs pending

Entropy rigidity of Hilbert and Riemannian metrics

Andrew Zimmer, Ludovic Marquis, Thomas Barthelm\'e

arxiv:1508.07474 v2 · 2015-08-29 · 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{ASQW43U754G2ZZFLBCM2I6DCYA}

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	2026-05-18T01:04:30.122704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a16e6e9fef0dace4ab0899a47862c0233d901a35be36418cbb1e707b01c42b

Aliases

arxiv: 1508.07474 · arxiv_version: 1508.07474v2 · doi: 10.48550/arxiv.1508.07474 · pith_short_12: ASQW43U754G2 · pith_short_16: ASQW43U754G2ZZFL · pith_short_8: ASQW43U7

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/ASQW43U754G2ZZFLBCM2I6DCYA \
  | 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: 04a16e6e9fef0dace4ab0899a47862c0233d901a35be36418cbb1e707b01c42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c77713b5492eb8fbe1e3c8bd85a730bb66f35723b5bcd182450312287b2926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-29T16:31:26Z",
    "title_canon_sha256": "d7a4ebf1b25e509c5e3d2ebed3f0be324d93a123bf4784682361b34f05e0f22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07474",
    "kind": "arxiv",
    "version": 2
  }
}