Pith Number

pith:3L2KMTI3

pith:2019:3L2KMTI3BPK4O6YFZENCDB23MH

not attested not anchored not stored refs pending

Fundamental Group Schemes of $n$-fold Symmetric Product of a Smooth Projective Curve

Arjun Paul, Ronnie Sebastian

arxiv:1907.09388 v1 · 2019-07-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L2KMTI3BPK4O6YFZENCDB23MH}

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	2026-05-17T23:39:59.344211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf4a64d1b0bd5c77b05c91a21875b61e59b29069544ef7be72723bbb6400d8c

Aliases

arxiv: 1907.09388 · arxiv_version: 1907.09388v1 · doi: 10.48550/arxiv.1907.09388 · pith_short_12: 3L2KMTI3BPK4 · pith_short_16: 3L2KMTI3BPK4O6YF · pith_short_8: 3L2KMTI3

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/3L2KMTI3BPK4O6YFZENCDB23MH \
  | 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: daf4a64d1b0bd5c77b05c91a21875b61e59b29069544ef7be72723bbb6400d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b2f4bf2959f8ca69eb5d35c32c4d4a39cdc400ca5791b3eb2f3143655d8377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-16T11:35:42Z",
    "title_canon_sha256": "ff404025ce9b9224cbb4142a1ac1b748b89a9f21b7b31865fc02e49e265392f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09388",
    "kind": "arxiv",
    "version": 1
  }
}