Pith Number

pith:7VNGCPS6

pith:2017:7VNGCPS6BC5ILDR4YHPIP32753

not attested not anchored not stored refs pending

Macroscopic stability and simplicial norms of hypersurfaces

Hannah Alpert

arxiv:1712.04545 v1 · 2017-12-12 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VNGCPS6BC5ILDR4YHPIP32753}

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	2026-05-18T00:28:07.640888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5a613e5e08ba858e3cc1de87ef5feecd88c5140ec206ba996dbab77c7ac304

Aliases

arxiv: 1712.04545 · arxiv_version: 1712.04545v1 · doi: 10.48550/arxiv.1712.04545 · pith_short_12: 7VNGCPS6BC5I · pith_short_16: 7VNGCPS6BC5ILDR4 · pith_short_8: 7VNGCPS6

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/7VNGCPS6BC5ILDR4YHPIP32753 \
  | 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: fd5a613e5e08ba858e3cc1de87ef5feecd88c5140ec206ba996dbab77c7ac304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a66e03f217338d5d350ea21aef26b8b155878825af7bcdb9010ad1a2cce85500",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-12T21:49:12Z",
    "title_canon_sha256": "d26a8d3a6377b4e841f9e494935a5a1d43e0020b1d126b549fe7635340c6ffc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04545",
    "kind": "arxiv",
    "version": 1
  }
}