Pith Number

pith:HRHJMTI4

pith:2021:HRHJMTI4JWFJ4Y73UMQFJW2QFT

not attested not anchored not stored refs pending

The Second Variation for Null-Torsion Holomorphic Curves in the 6-Sphere

Jesse Madnick

arxiv:2101.09580 v3 · 2021-01-23 · 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{HRHJMTI4JWFJ4Y73UMQFJW2QFT}

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	2026-07-05T03:37:24.827296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4e964d1c4d8a9e63fba32054db502cc2c747927c50ddb35ed631bb4ef5507f

Aliases

arxiv: 2101.09580 · arxiv_version: 2101.09580v3 · doi: 10.48550/arxiv.2101.09580 · pith_short_12: HRHJMTI4JWFJ · pith_short_16: HRHJMTI4JWFJ4Y73 · pith_short_8: HRHJMTI4

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/HRHJMTI4JWFJ4Y73UMQFJW2QFT \
  | 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: 3c4e964d1c4d8a9e63fba32054db502cc2c747927c50ddb35ed631bb4ef5507f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d405de5252e9aebd98bf148fc6e849dccb65f817e58469070cc56a2a29be9e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-01-23T20:36:16Z",
    "title_canon_sha256": "6fc6d2820a640112874c83612f6822b1c19d9ff6f1528ff9db766fac358812f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09580",
    "kind": "arxiv",
    "version": 3
  }
}