Pith Number

pith:RCO3VM4R

pith:2011:RCO3VM4RK6BT4WTVXOHOSVS2GZ

not attested not anchored not stored refs pending

Bubble tree of a class of conformal mappings and applications to Willmore functional

Jingyi Chen, Yuxiang Li

arxiv:1112.1818 v1 · 2011-12-08 · 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{RCO3VM4RK6BT4WTVXOHOSVS2GZ}

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	2026-05-18T04:06:45.575400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

889dbab39157833e5a75bb8ee9565a366614a5c89424c47437388b4e1dc3c379

Aliases

arxiv: 1112.1818 · arxiv_version: 1112.1818v1 · doi: 10.48550/arxiv.1112.1818 · pith_short_12: RCO3VM4RK6BT · pith_short_16: RCO3VM4RK6BT4WTV · pith_short_8: RCO3VM4R

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/RCO3VM4RK6BT4WTVXOHOSVS2GZ \
  | 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: 889dbab39157833e5a75bb8ee9565a366614a5c89424c47437388b4e1dc3c379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01113449f7004d0528892fca36d70c1446b327c45edd3254032b31ef4160334f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-08T12:30:36Z",
    "title_canon_sha256": "0588444a59cb2deff2c92a996dd77f6a3415fa1fc6d38959cb0db02a0ae08cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1818",
    "kind": "arxiv",
    "version": 1
  }
}