Pith Number

pith:WTLEZH2U

pith:2010:WTLEZH2UUPQROQUHQ3SB4SH7SV

not attested not anchored not stored refs pending

Twistor theory and the harmonic hull

Feng Xu, Michael Eastwood

arxiv:1012.2620 v2 · 2010-12-13 · math.DG · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTLEZH2UUPQROQUHQ3SB4SH7SV}

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	2026-05-18T04:30:03.663379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d64c9f54a3e117428786e41e48ff957794c3192b60f6b0cf289b90c3c87d24

Aliases

arxiv: 1012.2620 · arxiv_version: 1012.2620v2 · doi: 10.48550/arxiv.1012.2620 · pith_short_12: WTLEZH2UUPQR · pith_short_16: WTLEZH2UUPQROQUH · pith_short_8: WTLEZH2U

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/WTLEZH2UUPQROQUHQ3SB4SH7SV \
  | 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: b4d64c9f54a3e117428786e41e48ff957794c3192b60f6b0cf289b90c3c87d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1d1bec02cbd268fe9372093b482220201d6431878a08d9d591efbd718b69da",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-13T03:02:35Z",
    "title_canon_sha256": "3985f60232e09c5870931c1b61739b38b822409f75ebd3d6aeccccae0def9ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2620",
    "kind": "arxiv",
    "version": 2
  }
}