Pith Number

pith:HGFACEQT

pith:2015:HGFACEQTFTG6C2AI4VFYPLAWO3

not attested not anchored not stored refs pending

On global inverse and implicit functions

Olivia Gut\'u

arxiv:1508.07028 v5 · 2015-08-27 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGFACEQTFTG6C2AI4VFYPLAWO3}

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.

Cited by

1 paper in Pith

A Lifting principle of curves under exponential-type maps

Receipt and verification

First computed	2026-05-18T00:01:16.700848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398a0112132ccde16808e54b87ac1676cc7859feec03d4e253ccf796fd38b75d

Aliases

arxiv: 1508.07028 · arxiv_version: 1508.07028v5 · doi: 10.48550/arxiv.1508.07028 · pith_short_12: HGFACEQTFTG6 · pith_short_16: HGFACEQTFTG6C2AI · pith_short_8: HGFACEQT

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/HGFACEQTFTG6C2AI4VFYPLAWO3 \
  | 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: 398a0112132ccde16808e54b87ac1676cc7859feec03d4e253ccf796fd38b75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7ae6afee4fbe22f4d1a78e16792aab8b34814959ddfbd15f6c243942b0f215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-27T20:58:24Z",
    "title_canon_sha256": "0cc0a470e569b46c0c22016f1ca6f78496f9c874d6ce0b510155a51d1e6842b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07028",
    "kind": "arxiv",
    "version": 5
  }
}