Pith Number

pith:TDPU5YM7

pith:2002:TDPU5YM7YXMSCM35HOWQIEGXVE

not attested not anchored not stored refs pending

Holomorphic line bundles on the loop space of the Riemann sphere

Ning Zhang

arxiv:math/0210017 v2 · 2002-10-02 · math.CV · 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{TDPU5YM7YXMSCM35HOWQIEGXVE}

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	2026-07-05T04:03:07.928313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98df4ee19fc5d921337d3bad0410d7a93773ea78769bc7ca3e6b8c8cebc7a834

Aliases

arxiv: math/0210017 · arxiv_version: math/0210017v2 · doi: 10.48550/arxiv.math/0210017 · pith_short_12: TDPU5YM7YXMS · pith_short_16: TDPU5YM7YXMSCM35 · pith_short_8: TDPU5YM7

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/TDPU5YM7YXMSCM35HOWQIEGXVE \
  | 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: 98df4ee19fc5d921337d3bad0410d7a93773ea78769bc7ca3e6b8c8cebc7a834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86161d18606e605ffd1df9491597948e8a181fe5ff1b72e30c2c679de8d82577",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2002-10-02T01:16:17Z",
    "title_canon_sha256": "3624e4c7edb2b3ea26ab388e85e19188db56117516a4e0821741f8e2a2afcf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210017",
    "kind": "arxiv",
    "version": 2
  }
}