Pith Number

pith:PVYZPLII

pith:2017:PVYZPLIIS5GAWPIAPQ3I5AJVIY

not attested not anchored not stored refs pending

The gradient flow of the potential energy on the space of arcs

Dmitry Vorotnikov, Wenhui Shi

arxiv:1702.00747 v2 · 2017-02-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVYZPLIIS5GAWPIAPQ3I5AJVIY}

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	2026-05-17T23:52:34.425444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7197ad08974c0b3d007c368e81354616b0c64d9a347b35948987092fbece70

Aliases

arxiv: 1702.00747 · arxiv_version: 1702.00747v2 · doi: 10.48550/arxiv.1702.00747 · pith_short_12: PVYZPLIIS5GA · pith_short_16: PVYZPLIIS5GAWPIA · pith_short_8: PVYZPLII

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/PVYZPLIIS5GAWPIAPQ3I5AJVIY \
  | 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: 7d7197ad08974c0b3d007c368e81354616b0c64d9a347b35948987092fbece70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361ab2e563e891a6f8bb0422958c912cdac459bbb1a2c9a2a5af303e10f51da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-02T16:55:00Z",
    "title_canon_sha256": "ea3e30ddd6082c2f7506fa72e7a62eda47dc400114e48620ff89df7391773b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00747",
    "kind": "arxiv",
    "version": 2
  }
}