Pith Number

pith:EGT2VZGU

pith:2015:EGT2VZGUG2EC27Z5G7MYHNXPH2

not attested not anchored not stored refs pending

Differential Invariants and Symmetry: Riemannian metrics and beyond

Boris Kruglikov

arxiv:1502.02812 v1 · 2015-02-10 · 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{EGT2VZGUG2EC27Z5G7MYHNXPH2}

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	2026-05-18T02:27:30.853714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a7aae4d436882d7f3d37d983b6ef3e939acc98e06ecbd8983c59f9320934a6

Aliases

arxiv: 1502.02812 · arxiv_version: 1502.02812v1 · doi: 10.48550/arxiv.1502.02812 · pith_short_12: EGT2VZGUG2EC · pith_short_16: EGT2VZGUG2EC27Z5 · pith_short_8: EGT2VZGU

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/EGT2VZGUG2EC27Z5G7MYHNXPH2 \
  | 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: 21a7aae4d436882d7f3d37d983b6ef3e939acc98e06ecbd8983c59f9320934a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d78a7f43c0ec8efd2ea8c211c69a615dc12e0bf23bb00d77f9cd98083593a19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-10T08:42:09Z",
    "title_canon_sha256": "a18add78f2af502da913930693557b9441deaf2a3fc02bcfea2b67f64333b20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02812",
    "kind": "arxiv",
    "version": 1
  }
}