Pith Number

pith:6SIRG2XP

pith:2010:6SIRG2XPU3YRCMW75SN7KTM4CV

not attested not anchored not stored refs pending

On the approximation of functions on a Hodge manifold

Alessandro Ghigi

arxiv:1010.3439 v2 · 2010-10-17 · 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{6SIRG2XPU3YRCMW75SN7KTM4CV}

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	2026-05-18T04:35:04.499796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f491136aefa6f11132dfec9bf54d9c1570c55e67e88a025b0506d43aa42ce86e

Aliases

arxiv: 1010.3439 · arxiv_version: 1010.3439v2 · doi: 10.48550/arxiv.1010.3439 · pith_short_12: 6SIRG2XPU3YR · pith_short_16: 6SIRG2XPU3YRCMW7 · pith_short_8: 6SIRG2XP

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/6SIRG2XPU3YRCMW75SN7KTM4CV \
  | 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: f491136aefa6f11132dfec9bf54d9c1570c55e67e88a025b0506d43aa42ce86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e1216da2900bc85c70531ed753dee00de4a9de62ede194950a3e29a73220e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-17T19:13:33Z",
    "title_canon_sha256": "75d9d65cb3a7fe78191db0c8254c0bd35e993ede6fda8753adb639c2888b89db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3439",
    "kind": "arxiv",
    "version": 2
  }
}