Pith Number

pith:7W37BYQY

pith:2014:7W37BYQYU3BKYOPXIAG2LKOZQO

not attested not anchored not stored refs pending

The spinorial energy functional on surfaces

Bernd Ammann, Frederik Witt, Hartmut Weiss

arxiv:1407.2590 v3 · 2014-07-09 · math.DG · 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{7W37BYQYU3BKYOPXIAG2LKOZQO}

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	2026-05-18T00:01:10.944293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb7f0e218a6c2ac39f7400da5a9d9838be8f6df45a64b65c721db78758effeb

Aliases

arxiv: 1407.2590 · arxiv_version: 1407.2590v3 · doi: 10.48550/arxiv.1407.2590 · pith_short_12: 7W37BYQYU3BK · pith_short_16: 7W37BYQYU3BKYOPX · pith_short_8: 7W37BYQY

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/7W37BYQYU3BKYOPXIAG2LKOZQO \
  | 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: fdb7f0e218a6c2ac39f7400da5a9d9838be8f6df45a64b65c721db78758effeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2e609f13ab7d8c27faec6a2657fd45f545e8316d92f4abddc89975d4e874df",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-07-09T19:19:17Z",
    "title_canon_sha256": "c3086a42e263e63160d6922ebd803eebe6c03eb9bd0b82f8a2787599937d547a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2590",
    "kind": "arxiv",
    "version": 3
  }
}