Pith Number

pith:QIZUGVGX

pith:2017:QIZUGVGXMTU4TA4YUYAENOQB2C

not attested not anchored not stored refs pending

Remarks on Artin approximation with constraints

Dorin Popescu, Guillaume Rond

arxiv:1707.08346 v2 · 2017-07-26 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIZUGVGXMTU4TA4YUYAENOQB2C}

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	2026-05-18T00:16:23.680304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82334354d764e9c98398a60046ba01d0ab63d5c2a274b582749bf3f8361cac3a

Aliases

arxiv: 1707.08346 · arxiv_version: 1707.08346v2 · doi: 10.48550/arxiv.1707.08346 · pith_short_12: QIZUGVGXMTU4 · pith_short_16: QIZUGVGXMTU4TA4Y · pith_short_8: QIZUGVGX

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/QIZUGVGXMTU4TA4YUYAENOQB2C \
  | 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: 82334354d764e9c98398a60046ba01d0ab63d5c2a274b582749bf3f8361cac3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5edcf3046233b327d8230c920b1fc186c18210d9e0df69bb037c8ee6bcbb1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-26T09:58:23Z",
    "title_canon_sha256": "59ed83db4f404865c4439bb52b5288231637ad1b435e36ab5ac1c2199afe57fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08346",
    "kind": "arxiv",
    "version": 2
  }
}