Pith Number

pith:QS4F4UC7

pith:2011:QS4F4UC77OT5YSQK2RW7WKSWBR

not attested not anchored not stored refs pending

Asymptotic Analysis of Branched Willmore Surfaces

Tristan Rivi\`ere, Yann Bernard

arxiv:1106.4642 v1 · 2011-06-23 · math.AP · 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{QS4F4UC77OT5YSQK2RW7WKSWBR}

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	2026-05-18T01:22:28.960092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b85e505ffba7dc4a0ad46dfb2a560c57daa3b341135d9f3a3a3169b287aee0

Aliases

arxiv: 1106.4642 · arxiv_version: 1106.4642v1 · doi: 10.48550/arxiv.1106.4642 · pith_short_12: QS4F4UC77OT5 · pith_short_16: QS4F4UC77OT5YSQK · pith_short_8: QS4F4UC7

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/QS4F4UC77OT5YSQK2RW7WKSWBR \
  | 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: 84b85e505ffba7dc4a0ad46dfb2a560c57daa3b341135d9f3a3a3169b287aee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f456b15cc3393e32c70afd331a0f262b053af6caa78d8c85f976cd2d6733e65",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-23T07:00:34Z",
    "title_canon_sha256": "8867351291cb3348ff4a6b0adaa722388639edd38a7b72ff4fc3fe9d7d0a929e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4642",
    "kind": "arxiv",
    "version": 1
  }
}